M.3.1.23. Calcular y reconocer cuadrados y cubos de números inferiores a 20.:@0.105857:0.074446:0.477904:0.074446:0.477904:0.063867:0.105857:0.063867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.19. Identificar la potenciación como una operación multiplicativa en los números naturales. :@0.105857:0.085007:0.579947:0.085007:0.579947:0.074428:0.105857:0.074428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.20. Asociar las potencias con exponentes 2 (cuadrados) y 3 (cubos) con representaciones en dos y tres dimensiones o con áreas y volúmenes.:@0.105857:0.095569:0.817073:0.095569:0.817073:0.084990:0.105857:0.084990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potencia de un número natural:@0.096359:0.134752:0.386701:0.134752:0.386701:0.114779:0.096359:0.114779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La potenciación es una multiplicación abreviada. Es la operación de la :@0.096359:0.159671:0.699104:0.159671:0.699104:0.142577:0.096359:0.142577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma  a  donde a es el factor de la operación y   el número de veces que :@0.096359:0.177776:0.699125:0.177776:0.699125:0.160682:0.096359:0.160682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.162776:0.172747:0.169959:0.172747:0.169959:0.161351:0.162776:0.161351:0.000000
n:@0.483745:0.177776:0.494801:0.177776:0.494801:0.159339:0.483745:0.159339:0.000000
se repite el factor a: :@0.096362:0.195881:0.255153:0.195881:0.255153:0.178787:0.096362:0.178787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.277323:0.224588:0.289305:0.224588:0.289305:0.206709:0.277323:0.206709:0.000000
a:@0.257442:0.224588:0.267553:0.224588:0.267553:0.206739:0.257442:0.206739:0.000000
n:@0.267651:0.217358:0.273702:0.217358:0.273702:0.206947:0.267651:0.206947:0.000000
aa a:@0.298507:0.225508:0.362655:0.225508:0.362655:0.207660:0.298507:0.207660:0.000000:0.000000:0.000000:0.000000
a:@0.402901:0.225508:0.413013:0.225508:0.413013:0.207660:0.402901:0.207660:0.000000
....... .:@0.378717:0.225508:0.419700:0.225508:0.419700:0.207629:0.378717:0.207629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× × ×:@0.311386:0.226248:0.376459:0.226248:0.376459:0.209259:0.311386:0.209259:0.000000:0.000000:0.000000:0.000000:0.000000
n veces:@0.338168:0.204412:0.374487:0.204412:0.374487:0.192513:0.338168:0.192513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.243085:0.172815:0.243085:0.172815:0.226461:0.096359:0.226461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe la potencia de los siguientes números.:@0.096359:0.268216:0.463170:0.268216:0.463170:0.251122:0.096359:0.251122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.298693:0.116784:0.298693:0.116784:0.280256:0.096359:0.280256:0.000000:0.000000:0.000000
6    :@0.116784:0.298693:0.161077:0.298697:0.161077:0.281603:0.116784:0.281599:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.126594:0.293668:0.133134:0.293668:0.133134:0.282272:0.126594:0.282272:0.000000
b):@0.216983:0.298697:0.234673:0.298697:0.234673:0.280260:0.216983:0.280260:0.000000:0.000000
 2   :@0.234673:0.298697:0.281694:0.298697:0.281694:0.281603:0.234673:0.281603:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.248879:0.293668:0.255420:0.293668:0.255420:0.282272:0.248879:0.282272:0.000000
c):@0.337600:0.298697:0.352677:0.298697:0.352677:0.280260:0.337600:0.280260:0.000000:0.000000
 3:@0.352677:0.298697:0.366890:0.298697:0.366890:0.281603:0.352677:0.281603:0.000000:0.000000
4:@0.366883:0.293668:0.373423:0.293668:0.373423:0.282272:0.366883:0.282272:0.000000
Solución:@0.096359:0.340429:0.163086:0.340429:0.163086:0.323805:0.096359:0.323805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.365978:0.116784:0.365978:0.116784:0.347541:0.096359:0.347541:0.000000:0.000000:0.000000
6   6   6    216 :@0.116784:0.365978:0.256338:0.365978:0.256338:0.348883:0.116784:0.348883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× ×:@0.130996:0.366611:0.183103:0.366611:0.183103:0.347405:0.130996:0.347405:0.000000:0.000000:0.000000
=:@0.206121:0.365978:0.218102:0.365978:0.218102:0.348883:0.206121:0.348883:0.000000
b):@0.277285:0.365978:0.294975:0.365978:0.294975:0.347541:0.277285:0.347541:0.000000:0.000000
 2 :@0.294975:0.365978:0.313591:0.365978:0.313591:0.348883:0.294975:0.348883:0.000000:0.000000:0.000000
×  ×  × ×:@0.313591:0.366611:0.437666:0.366611:0.437666:0.347405:0.313591:0.347405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.335362:0.365978:0.349575:0.365978:0.349575:0.348883:0.335362:0.348883:0.000000:0.000000
2   2   2   32 :@0.371346:0.365978:0.496688:0.365978:0.496688:0.348883:0.371346:0.348883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.456281:0.365978:0.468262:0.365978:0.468262:0.348883:0.456281:0.348883:0.000000
c) :@0.518519:0.365978:0.537758:0.365978:0.537758:0.347541:0.518519:0.347541:0.000000:0.000000:0.000000
3   3   3   3    81:@0.537396:0.365978:0.694661:0.365978:0.694661:0.348883:0.537396:0.348883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× × ×:@0.551227:0.366611:0.637167:0.366611:0.637167:0.347405:0.551227:0.347405:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.655018:0.365978:0.666999:0.365978:0.666999:0.348883:0.655018:0.348883:0.000000
Potencia de un número fraccionario:@0.096359:0.404011:0.430976:0.404011:0.430976:0.384038:0.096359:0.384038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La potencia de una fracción se obtiene elevando el numerador y el :@0.096359:0.428929:0.699124:0.428929:0.699124:0.411835:0.096359:0.411835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador al exponente de la fracción.:@0.096359:0.447035:0.430847:0.447035:0.430847:0.429940:0.096359:0.429940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.470444:0.172815:0.470444:0.172815:0.453820:0.096359:0.453820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe la potencia de los números fraccionarios.:@0.096359:0.495993:0.483313:0.495993:0.483313:0.478898:0.096359:0.478898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.541980:0.116784:0.541980:0.116784:0.523543:0.096359:0.523543:0.000000:0.000000:0.000000
2:@0.132174:0.534736:0.141984:0.534736:0.141984:0.517642:0.132174:0.517642:0.000000
4:@0.132174:0.555723:0.141984:0.555723:0.141984:0.538629:0.132174:0.538629:0.000000
⎛ ⎞:@0.119296:0.536957:0.152345:0.536957:0.152345:0.517298:0.119296:0.517298:0.000000:0.000000:0.000000
⎝ ⎠:@0.119296:0.554715:0.152345:0.554715:0.152345:0.535056:0.119296:0.535056:0.000000:0.000000:0.000000
⎜ ⎟:@0.119296:0.548393:0.152345:0.548393:0.152345:0.528734:0.119296:0.528734:0.000000:0.000000:0.000000
2:@0.154947:0.524423:0.160619:0.524423:0.160619:0.514541:0.154947:0.514541:0.000000
  :@0.163690:0.541976:0.172495:0.541976:0.172495:0.524882:0.163690:0.524882:0.000000:0.000000
b):@0.216983:0.541976:0.234673:0.541976:0.234673:0.523539:0.216983:0.523539:0.000000:0.000000
 :@0.234673:0.541976:0.238835:0.541976:0.238835:0.523539:0.234673:0.523539:0.000000
3:@0.243068:0.536004:0.252878:0.536004:0.252878:0.518909:0.243068:0.518909:0.000000
2:@0.243016:0.557142:0.252826:0.557142:0.252826:0.540047:0.243016:0.540047:0.000000
2:@0.252543:0.527655:0.258215:0.527655:0.258215:0.517772:0.252543:0.517772:0.000000
3:@0.252915:0.548789:0.258587:0.548789:0.258587:0.538907:0.252915:0.538907:0.000000
  :@0.265632:0.541976:0.281694:0.541976:0.281694:0.524882:0.265632:0.524882:0.000000:0.000000
c):@0.337600:0.541976:0.352677:0.541976:0.352677:0.523539:0.337600:0.523539:0.000000:0.000000
 :@0.352677:0.541976:0.357080:0.541976:0.357080:0.524882:0.352677:0.524882:0.000000
2:@0.361261:0.536004:0.371071:0.536004:0.371071:0.518909:0.361261:0.518909:0.000000
4:@0.364979:0.557142:0.374789:0.557142:0.374789:0.540047:0.364979:0.540047:0.000000
5:@0.371155:0.527655:0.376827:0.527655:0.376827:0.517772:0.371155:0.517772:0.000000
  :@0.383877:0.541976:0.402311:0.541976:0.402311:0.524882:0.383877:0.524882:0.000000:0.000000
d):@0.458217:0.541976:0.475948:0.541976:0.475948:0.523539:0.458217:0.523539:0.000000:0.000000
 :@0.475948:0.541976:0.480109:0.541976:0.480109:0.523539:0.475948:0.523539:0.000000
5:@0.488636:0.534746:0.498447:0.534746:0.498447:0.517652:0.488636:0.517652:0.000000
3:@0.484291:0.555884:0.494101:0.555884:0.494101:0.538790:0.484291:0.538790:0.000000
4:@0.494237:0.547535:0.499908:0.547535:0.499908:0.537652:0.494237:0.537652:0.000000
Solución:@0.096359:0.586223:0.163086:0.586223:0.163086:0.569599:0.096359:0.569599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.629591:0.116784:0.629591:0.116784:0.611154:0.096359:0.611154:0.000000:0.000000:0.000000
×:@0.138007:0.624358:0.149044:0.624358:0.149044:0.607369:0.138007:0.607369:0.000000
×:@0.138007:0.645496:0.149044:0.645496:0.149044:0.628507:0.138007:0.628507:0.000000
=:@0.168161:0.634102:0.179198:0.634102:0.179198:0.617114:0.168161:0.617114:0.000000
22:@0.125965:0.623619:0.161527:0.623619:0.161527:0.606525:0.125965:0.606525:0.000000:0.000000
44:@0.125121:0.644757:0.162372:0.644757:0.162372:0.627662:0.125121:0.627662:0.000000:0.000000
4:@0.188988:0.623619:0.198798:0.623619:0.198798:0.606525:0.188988:0.606525:0.000000
16:@0.183339:0.644757:0.202779:0.644757:0.202779:0.627662:0.183339:0.627662:0.000000:0.000000
   :@0.207215:0.629591:0.221138:0.629591:0.221138:0.611154:0.207215:0.611154:0.000000:0.000000:0.000000
b):@0.277293:0.629591:0.294984:0.629591:0.294984:0.611154:0.277293:0.611154:0.000000:0.000000
 :@0.294984:0.629591:0.299145:0.629591:0.299145:0.611154:0.294984:0.611154:0.000000
×:@0.328244:0.621843:0.339280:0.621843:0.339280:0.604855:0.328244:0.604855:0.000000
××:@0.315365:0.642981:0.352153:0.642981:0.352153:0.625993:0.315365:0.625993:0.000000:0.000000
=:@0.369601:0.631588:0.380637:0.631588:0.380637:0.614599:0.369601:0.614599:0.000000
33:@0.316621:0.621104:0.351761:0.621104:0.351761:0.604010:0.316621:0.604010:0.000000:0.000000
22 2:@0.303333:0.642242:0.364647:0.642242:0.364647:0.625148:0.303333:0.625148:0.000000:0.000000:0.000000:0.000000
9:@0.386056:0.621104:0.395867:0.621104:0.395867:0.604010:0.386056:0.604010:0.000000
8:@0.386056:0.642242:0.395867:0.642242:0.395867:0.625148:0.386056:0.625148:0.000000
  :@0.401326:0.629591:0.409649:0.629591:0.409649:0.611154:0.401326:0.611154:0.000000:0.000000
          :@0.458217:0.629591:0.510746:0.629591:0.510746:0.611154:0.458217:0.611154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.491508:0.629591:0.506585:0.629591:0.506585:0.611154:0.491508:0.611154:0.000000:0.000000
××× ×:@0.526966:0.624358:0.615278:0.624358:0.615278:0.607369:0.526966:0.607369:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.632727:0.634105:0.643764:0.634105:0.643764:0.617116:0.632727:0.617116:0.000000
2 2222:@0.514924:0.623619:0.627742:0.623619:0.627742:0.606525:0.514924:0.606525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.566428:0.644757:0.576238:0.644757:0.576238:0.627662:0.566428:0.627662:0.000000
32:@0.649151:0.623619:0.668591:0.623619:0.668591:0.606525:0.649151:0.606525:0.000000:0.000000
4:@0.653976:0.644757:0.663786:0.644757:0.663786:0.627662:0.653976:0.627662:0.000000
d) :@0.096359:0.683348:0.118251:0.683348:0.118251:0.664911:0.096359:0.664911:0.000000:0.000000:0.000000
×××:@0.135913:0.692968:0.197609:0.692968:0.197609:0.675979:0.135913:0.675979:0.000000:0.000000:0.000000
=:@0.214649:0.681573:0.225686:0.681573:0.225686:0.664584:0.214649:0.664584:0.000000
5:@0.162301:0.671087:0.172112:0.671087:0.172112:0.653993:0.162301:0.653993:0.000000
3333:@0.124290:0.692228:0.210089:0.692228:0.210089:0.675134:0.124290:0.675134:0.000000:0.000000:0.000000:0.000000
5:@0.234647:0.671089:0.244457:0.671089:0.244457:0.653995:0.234647:0.653995:0.000000
81:@0.231087:0.692228:0.250526:0.692228:0.250526:0.675134:0.231087:0.675134:0.000000:0.000000
 :@0.252446:0.683348:0.256607:0.683348:0.256607:0.664911:0.252446:0.664911:0.000000
Potencia de un número decimal:@0.096359:0.721381:0.393430:0.721381:0.393430:0.701408:0.096359:0.701408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener la potencia de un número decimal, primero se calcula la :@0.096359:0.746301:0.699122:0.746301:0.699122:0.729207:0.096359:0.729207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia significativa; luego se cuenta el número de cifras decimales; :@0.096359:0.764406:0.699082:0.764406:0.699082:0.747312:0.096359:0.747312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y después se multiplica por el exponente se recorre la coma decimal de :@0.096359:0.782511:0.699104:0.782511:0.699104:0.765417:0.096359:0.765417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha a izquierda tantos lugares como indica el producto.:@0.096359:0.800617:0.574761:0.800617:0.574761:0.783522:0.096359:0.783522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.833166:0.172815:0.833166:0.172815:0.816542:0.096359:0.816542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe la potencia de los números decimales.:@0.096359:0.858713:0.462748:0.858713:0.462748:0.841618:0.096359:0.841618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.879549:0.112622:0.879549:0.112622:0.861112:0.096359:0.861112:0.000000:0.000000
 :@0.112622:0.879549:0.116784:0.879549:0.116784:0.861112:0.112622:0.861112:0.000000
(0,2):@0.120100:0.879549:0.153873:0.879549:0.153873:0.862454:0.120100:0.862454:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.153875:0.874522:0.160415:0.874522:0.160415:0.863126:0.153875:0.863126:0.000000
b):@0.337602:0.879551:0.355292:0.879551:0.355292:0.861114:0.337602:0.861114:0.000000:0.000000
  :@0.355292:0.879551:0.363615:0.879551:0.363615:0.861114:0.355292:0.861114:0.000000:0.000000
(0,003):@0.363615:0.879551:0.417008:0.879551:0.417008:0.862457:0.363615:0.862457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.416998:0.874522:0.423538:0.874522:0.423538:0.863126:0.416998:0.863126:0.000000
Solución:@0.096359:0.902961:0.163086:0.902961:0.163086:0.886337:0.096359:0.886337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.931241:0.112622:0.931241:0.112622:0.912804:0.096359:0.912804:0.000000:0.000000
 :@0.112622:0.931241:0.116784:0.931241:0.116784:0.912804:0.112622:0.912804:0.000000
2    8 :@0.120100:0.931241:0.171452:0.931241:0.171452:0.914146:0.120100:0.914146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.129912:0.926212:0.136452:0.926212:0.136452:0.914815:0.129912:0.914815:0.000000
=:@0.140855:0.931241:0.152836:0.931241:0.152836:0.914146:0.140855:0.914146:0.000000
 :@0.216977:0.931241:0.221379:0.931241:0.221379:0.914146:0.216977:0.914146:0.000000
1:@0.277293:0.931241:0.287103:0.931241:0.287103:0.914146:0.277293:0.914146:0.000000
    =:@0.287103:0.931241:0.338848:0.931241:0.338848:0.914146:0.287103:0.914146:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.291506:0.931874:0.308252:0.931874:0.308252:0.912668:0.291506:0.912668:0.000000
3   3 cifras decimales :@0.312654:0.931241:0.488213:0.931241:0.488213:0.914146:0.312654:0.914146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.518528:0.931241:0.522930:0.931241:0.522930:0.914146:0.518528:0.914146:0.000000
0,008 :@0.578836:0.931241:0.625978:0.931241:0.625978:0.914146:0.578836:0.914146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.096368:0.949557:0.118219:0.949557:0.118219:0.931120:0.096368:0.931120:0.000000:0.000000:0.000000
3    27 :@0.120109:0.949557:0.181262:0.949564:0.181262:0.932469:0.120109:0.932463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.129912:0.944535:0.136452:0.944535:0.136452:0.933138:0.129912:0.933138:0.000000
=:@0.140855:0.949564:0.152836:0.949564:0.152836:0.932469:0.140855:0.932469:0.000000
 :@0.216977:0.949564:0.221379:0.949564:0.221379:0.932469:0.216977:0.932469:0.000000
3    3   9 cifras decimales :@0.277293:0.949564:0.487851:0.949564:0.487851:0.932469:0.277293:0.932469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.291506:0.949564:0.303487:0.949564:0.303487:0.932469:0.291506:0.932469:0.000000
=:@0.326505:0.949564:0.338486:0.949564:0.338486:0.932469:0.326505:0.932469:0.000000
 :@0.518530:0.949564:0.522932:0.949564:0.522932:0.932469:0.518530:0.932469:0.000000
0,000 000 027:@0.578836:0.949564:0.689241:0.949564:0.689241:0.932469:0.578836:0.932469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base a:@0.634610:0.225877:0.675897:0.227230:0.676790:0.211881:0.635503:0.210528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Es el factor que se repite las :@0.675897:0.227230:0.849687:0.232926:0.850515:0.218694:0.676725:0.212999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces que indica el exponente.:@0.633733:0.240951:0.818550:0.247007:0.819378:0.232776:0.634561:0.226719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponente n.:@0.632856:0.256024:0.718441:0.258829:0.719334:0.243479:0.633749:0.240674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Indica el número de :@0.718441:0.258829:0.845313:0.262986:0.846141:0.248755:0.719269:0.244597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces que se multiplica la base.:@0.631979:0.271097:0.818633:0.277214:0.819460:0.262982:0.632807:0.256866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia. :@0.631103:0.286171:0.694938:0.288263:0.695831:0.272913:0.631995:0.270821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resultado de la :@0.694938:0.288263:0.789864:0.291373:0.790692:0.277142:0.695766:0.274031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación.:@0.630226:0.301244:0.711775:0.303916:0.712603:0.289685:0.631054:0.287012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
29:@0.942817:0.964670:0.965053:0.964670:0.965053:0.945024:0.942817:0.945024:0.000000:0.000000
Existen calculadoras :@0.731878:0.531703:0.869112:0.531703:0.869112:0.517457:0.731878:0.517457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que permiten realizar :@0.731878:0.546790:0.877656:0.546790:0.877656:0.532545:0.731878:0.532545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los procesos de raíces y :@0.731878:0.561878:0.891361:0.561878:0.891361:0.547633:0.731878:0.547633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación de forma :@0.731878:0.576965:0.887338:0.576965:0.887338:0.562720:0.731878:0.562720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rápida, ágil y exacta. Estas :@0.731878:0.592053:0.905515:0.592053:0.905515:0.577808:0.731878:0.577808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadoras tienen las :@0.731878:0.607141:0.886151:0.607141:0.886151:0.592895:0.731878:0.592895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teclas que se muestran :@0.731878:0.622228:0.888798:0.622228:0.888798:0.607983:0.731878:0.607983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la imagen.:@0.731878:0.637316:0.821436:0.637316:0.821436:0.623071:0.731878:0.623071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.731878:0.758017:0.781649:0.758017:0.781649:0.742904:0.731878:0.742904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la raíz cuadrada :@0.781649:0.758017:0.892634:0.758017:0.892634:0.743771:0.781649:0.743771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tres fracciones en el :@0.731878:0.773104:0.888195:0.773104:0.888195:0.758859:0.731878:0.758859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuaderno y :@0.731878:0.788192:0.810748:0.788192:0.810748:0.773947:0.731878:0.773947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra:@0.810748:0.788192:0.881812:0.788192:0.881812:0.773079:0.810748:0.773079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la :@0.881812:0.788192:0.900306:0.788192:0.900306:0.773947:0.881812:0.773947:0.000000:0.000000:0.000000:0.000000
solución con la ayuda de :@0.731878:0.803280:0.900941:0.803280:0.900941:0.789034:0.731878:0.789034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una calculadora.  :@0.731878:0.818367:0.848006:0.818367:0.848006:0.804122:0.731878:0.804122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.781855:0.494559:0.882968:0.494559:0.882968:0.477783:0.781855:0.477783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.781855:0.508390:0.869884:0.508390:0.869884:0.491613:0.781855:0.491613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 93094681 :@0.928079:0.738992:0.928079:0.667056:0.916690:0.667056:0.916690:0.738992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todo número elevado a :@0.732409:0.407143:0.894771:0.407143:0.894771:0.392898:0.732409:0.392898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero es igual a 1.:@0.732409:0.422231:0.842087:0.422231:0.842087:0.407985:0.732409:0.407985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782386:0.369999:0.883499:0.369999:0.883499:0.353222:0.782386:0.353222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782386:0.383829:0.870415:0.383829:0.870415:0.367053:0.782386:0.367053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ceros a la izquierda :@0.732437:0.911429:0.888635:0.911429:0.888635:0.897184:0.732437:0.897184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del primer dígito no cero, :@0.732437:0.926516:0.905019:0.926516:0.905019:0.912271:0.732437:0.912271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no son significativos.:@0.732437:0.941604:0.870224:0.941604:0.870224:0.927359:0.732437:0.927359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782415:0.874284:0.883527:0.874284:0.883527:0.857508:0.782415:0.857508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782415:0.888115:0.870444:0.888115:0.870444:0.871339:0.782415:0.871339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000