﻿Tema 1:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potenciación y radicación  :@0.305303:0.069847:0.649150:0.069847:0.649150:0.042191:0.305303:0.042191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con números racionales:@0.305303:0.096258:0.613387:0.096258:0.613387:0.068602:0.305303:0.068602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
136:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Rosario tiene una caja cuadrada que mide 1 metro por lado. Quiere germinar semillas :@0.305309:0.234229:0.907690:0.234229:0.907690:0.218559:0.305309:0.218559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de árboles para el proyecto de forestación de su colegio. Para esto, divide 4 veces :@0.305309:0.250826:0.907690:0.250826:0.907690:0.235156:0.305309:0.235156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la caja de la siguiente manera::@0.305309:0.267422:0.519364:0.267422:0.519364:0.251752:0.305309:0.251752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos  cómo se forma cada figura. Sabiendo  que el lado de la caja mide :@0.305309:0.446400:0.907763:0.446400:0.907763:0.430730:0.305309:0.430730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 metro y si se siguen dividiendo de la misma manera, ¿cuánto medirá el lado :@0.305309:0.462996:0.907708:0.462996:0.907708:0.447327:0.305309:0.447327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cada cuadrado de la figura 4? ¿Cuántas plantitas se podrán sembrar si en cada :@0.305309:0.479593:0.907708:0.479593:0.907708:0.463923:0.305309:0.463923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
división se siembra una planta?:@0.305309:0.496189:0.533885:0.496189:0.533885:0.480519:0.305309:0.480519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos que, contando desde la segunda figura, el valor del lado de cada :@0.305309:0.519908:0.907671:0.519908:0.907671:0.504238:0.305309:0.504238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado se puede obtener al multiplicar la medida del lado del cuadrado de la :@0.305309:0.536504:0.907699:0.536504:0.907699:0.520835:0.305309:0.520835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
figura anterior por  ; es decir, los lados de cuadrado serán potencias de  .:@0.305309:0.561897:0.859725:0.561907:0.859725:0.546237:0.305309:0.546227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.447640:0.552948:0.456633:0.552948:0.456633:0.537279:0.447640:0.537279:0.000000
2:@0.446854:0.572398:0.455847:0.572398:0.455847:0.556728:0.446854:0.556728:0.000000
1:@0.842960:0.552948:0.851952:0.552948:0.851952:0.537279:0.842960:0.537279:0.000000
2:@0.842176:0.572398:0.851168:0.572398:0.851168:0.556728:0.842176:0.556728:0.000000
La cuarta caja quedaría dividida en 64  :@0.630590:0.588714:0.907306:0.588714:0.907306:0.574468:0.630590:0.574468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partes y el lado de cada cuadrado medirá::@0.630590:0.605310:0.902094:0.605310:0.902094:0.591065:0.630590:0.591065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.740463:0.627007:0.749456:0.627007:0.749456:0.610618:0.740463:0.610618:0.000000
2:@0.739671:0.646342:0.748664:0.646342:0.748664:0.629953:0.739671:0.629953:0.000000
6:@0.759990:0.617932:0.766019:0.617932:0.766019:0.606944:0.759990:0.606944:0.000000
=:@0.770827:0.636482:0.780944:0.636482:0.780944:0.618461:0.770827:0.618461:0.000000
1:@0.791300:0.627008:0.800293:0.627008:0.800293:0.610620:0.791300:0.610620:0.000000
64:@0.785956:0.646343:0.803739:0.646343:0.803739:0.629954:0.785956:0.629954:0.000000:0.000000
100 :@0.695785:0.765259:0.723979:0.765259:0.723979:0.751014:0.695785:0.751014:0.000000:0.000000:0.000000:0.000000
cm:@0.723979:0.765259:0.744250:0.765259:0.744250:0.750385:0.723979:0.750385:0.000000:0.000000
 ÷ 8 = 12,5 :@0.744250:0.765259:0.818178:0.765259:0.818178:0.751014:0.744250:0.751014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.818178:0.765259:0.838448:0.765259:0.838448:0.750385:0.818178:0.750385:0.000000:0.000000
Cada lado del cuadrado formado en la :@0.639530:0.787475:0.898368:0.787475:0.898368:0.773230:0.639530:0.773230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuarta caja medirá 12,5 :@0.635996:0.802563:0.793518:0.802563:0.793518:0.788318:0.635996:0.788318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.793518:0.802563:0.813789:0.802563:0.813789:0.787689:0.793518:0.787689:0.000000:0.000000
, y se podrán :@0.813789:0.802563:0.901923:0.802563:0.901923:0.788318:0.813789:0.788318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sembrar 64 plantitas.:@0.697946:0.817650:0.836284:0.817650:0.836284:0.803405:0.697946:0.803405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.118639:0.488659:0.126981:0.488659:0.126981:0.474805:0.118639:0.474805:0.000000
b:@0.118457:0.506060:0.126799:0.506060:0.126799:0.492206:0.118457:0.492206:0.000000
n:@0.137580:0.480491:0.143317:0.480491:0.143317:0.471202:0.137580:0.471202:0.000000
=:@0.147333:0.497260:0.156438:0.497260:0.156438:0.483245:0.147333:0.483245:0.000000
a:@0.160949:0.488659:0.169292:0.488659:0.169292:0.474805:0.160949:0.474805:0.000000
n:@0.169996:0.482046:0.175733:0.482046:0.175733:0.472757:0.169996:0.472757:0.000000
b:@0.160762:0.506056:0.169104:0.506056:0.169104:0.492202:0.160762:0.492202:0.000000
n:@0.169808:0.499444:0.175546:0.499444:0.175546:0.490156:0.169808:0.490156:0.000000
, si:@0.179560:0.496650:0.196178:0.496650:0.196178:0.482547:0.179560:0.482547:0.000000:0.000000:0.000000:0.000000
    b:@0.184137:0.496650:0.210474:0.496999:0.210474:0.483145:0.184137:0.482796:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.226865:0.496650:0.234959:0.496650:0.234959:0.482547:0.226865:0.482547:0.000000
 :@0.238408:0.496337:0.242076:0.496337:0.242076:0.482092:0.238408:0.482092:0.000000
y  pertenece al :@0.105729:0.526512:0.215572:0.526512:0.215572:0.512267:0.105729:0.512267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 n:@0.113100:0.526512:0.124759:0.526512:0.124759:0.511639:0.113100:0.511639:0.000000:0.000000
conjunto de números :@0.105729:0.541600:0.254423:0.541600:0.254423:0.527355:0.105729:0.527355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros positivos.:@0.105729:0.556688:0.221553:0.556688:0.221553:0.542442:0.105729:0.542442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.135781:0.458613:0.257862:0.458613:0.257862:0.441712:0.135781:0.441712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.143978:0.172033:0.236484:0.172033:0.236484:0.156669:0.143978:0.156669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Economía:@0.145134:0.187120:0.228393:0.187120:0.228393:0.171756:0.145134:0.171756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La potenciación es muy :@0.106218:0.202208:0.268146:0.202208:0.268146:0.187963:0.106218:0.187963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizada al momento :@0.106218:0.217296:0.251526:0.217296:0.251526:0.203050:0.106218:0.203050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de realizar un préstamo, :@0.106218:0.232383:0.269250:0.232383:0.269250:0.218138:0.106218:0.218138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pues con una función :@0.106218:0.247471:0.255381:0.247471:0.255381:0.233226:0.106218:0.233226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia, se puede :@0.106218:0.262558:0.236937:0.262558:0.236937:0.248313:0.106218:0.248313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular el interés que :@0.106218:0.277646:0.254575:0.277646:0.254575:0.263401:0.106218:0.263401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te corresponde pagar :@0.106218:0.292734:0.253890:0.292734:0.253890:0.278488:0.106218:0.278488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un cierto tiempo.:@0.106218:0.307821:0.241961:0.307821:0.241961:0.293576:0.106218:0.293576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: :@0.106218:0.330038:0.183212:0.330038:0.183212:0.314925:0.106218:0.314925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué :@0.183212:0.330038:0.219363:0.330038:0.219363:0.315793:0.183212:0.315793:0.000000:0.000000:0.000000:0.000000:0.000000
término se repite :@0.106218:0.345125:0.223801:0.345125:0.223801:0.330880:0.106218:0.330880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varias veces en la :@0.106218:0.360213:0.224171:0.360213:0.224171:0.345968:0.106218:0.345968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación?:@0.106218:0.375301:0.200383:0.375301:0.200383:0.361055:0.106218:0.361055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cristina repartió la mitad de sus :@0.312004:0.165265:0.562325:0.165265:0.562325:0.149595:0.312004:0.149595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
stickers:@0.565476:0.165265:0.615581:0.165265:0.615581:0.148903:0.565476:0.148903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a su amigo Ricardo, quien le regaló :@0.615581:0.165265:0.901523:0.165265:0.901523:0.149595:0.615581:0.149595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la mitad a su amigo Luis. Este, a su vez, le regaló la mitad a su hermana Ana. :@0.312004:0.181861:0.901576:0.181861:0.901576:0.166191:0.312004:0.166191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.897487:0.181861:0.901523:0.181861:0.901523:0.166191:0.897487:0.166191:0.000000
¿Qué parte de :@0.312004:0.198457:0.420154:0.198457:0.420154:0.182788:0.312004:0.182788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
stickers:@0.420154:0.198457:0.470257:0.198457:0.470257:0.182096:0.420154:0.182096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 repartió cada uno?:@0.470257:0.198457:0.611800:0.198457:0.611800:0.182788:0.470257:0.182788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.345697:0.138636:0.471205:0.138636:0.471205:0.121736:0.345697:0.121736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La potenciación se utiliza para expresar en forma simplificada el producto de factores :@0.316475:0.851378:0.886516:0.851378:0.886516:0.837132:0.316475:0.837132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales. :@0.316475:0.866465:0.369914:0.866465:0.369914:0.852220:0.316475:0.852220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La potencia de un número racional es negativa cuando la base es negativa y el :@0.316475:0.888682:0.843117:0.888682:0.843117:0.874436:0.316475:0.874436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponente es un número impar.:@0.316475:0.903769:0.530718:0.903769:0.530718:0.889524:0.316475:0.889524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.105728:0.696899:0.156873:0.696899:0.156873:0.681787:0.105728:0.681787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.156873:0.696899:0.160341:0.696899:0.160341:0.681535:0.156873:0.681535:0.000000
al siguiente :@0.160341:0.696899:0.240399:0.696899:0.240399:0.682654:0.160341:0.682654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web :@0.105728:0.711987:0.186272:0.711987:0.186272:0.697742:0.105728:0.697742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.186272:0.711987:0.189321:0.711987:0.189321:0.696862:0.186272:0.696862:0.000000
lynk.ec/8m22:@0.105728:0.727075:0.195639:0.727075:0.195639:0.711949:0.105728:0.711949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.195639:0.727075:0.199307:0.727075:0.199307:0.712829:0.195639:0.712829:0.000000
y :@0.105728:0.742162:0.116768:0.742162:0.116768:0.727917:0.105728:0.727917:0.000000:0.000000
conoce:@0.116768:0.742162:0.167662:0.742162:0.167662:0.727049:0.116768:0.727049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.167662:0.742162:0.171130:0.742162:0.171130:0.726798:0.167662:0.726798:0.000000
de algunos :@0.171130:0.742162:0.249012:0.742162:0.249012:0.727917:0.171130:0.727917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trucos de potenciación :@0.105728:0.757250:0.263400:0.757250:0.263400:0.743005:0.105728:0.743005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que harán tu aprendizaje :@0.105728:0.772337:0.268376:0.772337:0.268376:0.758092:0.105728:0.758092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más divertido.:@0.105728:0.787425:0.199858:0.787425:0.199858:0.773180:0.105728:0.773180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.123888:0.676298:0.271539:0.676298:0.271539:0.659398:0.123888:0.659398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caja:@0.335670:0.595597:0.368036:0.595597:0.368036:0.580019:0.335670:0.580019:0.000000:0.000000:0.000000:0.000000
Valor del lado del cuadrado:@0.402646:0.595597:0.606356:0.595597:0.606356:0.580019:0.402646:0.580019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caja 1:@0.330862:0.636535:0.372827:0.636535:0.372827:0.621422:0.330862:0.621422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.482394:0.628082:0.490488:0.628082:0.490488:0.613332:0.482394:0.613332:0.000000
2:@0.481681:0.645483:0.489775:0.645483:0.489775:0.630733:0.481681:0.630733:0.000000
1:@0.499733:0.619914:0.505159:0.619914:0.505159:0.610025:0.499733:0.610025:0.000000
=:@0.509486:0.636684:0.518592:0.636684:0.518592:0.622668:0.509486:0.622668:0.000000
1:@0.523484:0.628082:0.531578:0.628082:0.531578:0.613332:0.523484:0.613332:0.000000
2:@0.522771:0.645484:0.530864:0.645484:0.530864:0.630734:0.522771:0.630734:0.000000
Caja 2:@0.330872:0.689260:0.372837:0.689260:0.372837:0.674147:0.330872:0.674147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.456953:0.681049:0.465046:0.681049:0.465046:0.666298:0.456953:0.666298:0.000000
2:@0.456239:0.698450:0.464333:0.698450:0.464333:0.683700:0.456239:0.683700:0.000000
2:@0.474291:0.672879:0.479718:0.672879:0.479718:0.662990:0.474291:0.662990:0.000000
=:@0.483810:0.689575:0.492915:0.689575:0.492915:0.673356:0.483810:0.673356:0.000000
1 1:@0.497808:0.681049:0.529784:0.681049:0.529784:0.666298:0.497808:0.666299:0.000000:0.000000:0.000000
2 2:@0.497095:0.698450:0.529071:0.698450:0.529071:0.683700:0.497095:0.683700:0.000000:0.000000:0.000000
=:@0.532905:0.689575:0.542010:0.689575:0.542010:0.673356:0.532905:0.673356:0.000000
1:@0.547566:0.681049:0.555659:0.681049:0.555659:0.666299:0.547566:0.666299:0.000000
4:@0.546853:0.698450:0.554946:0.698450:0.554946:0.683700:0.546853:0.683700:0.000000
Caja 3:@0.330872:0.741989:0.372837:0.741989:0.372837:0.726876:0.330872:0.726876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.430539:0.733777:0.438633:0.733777:0.438633:0.719027:0.430539:0.719027:0.000000
2:@0.429826:0.751178:0.437919:0.751178:0.437919:0.736428:0.429826:0.736428:0.000000
4:@0.448303:0.725609:0.453730:0.725609:0.453730:0.715720:0.448303:0.715720:0.000000
=:@0.458291:0.742304:0.467396:0.742304:0.467396:0.726085:0.458291:0.726085:0.000000
1 1 1 1:@0.472289:0.733777:0.552041:0.733777:0.552041:0.719027:0.472289:0.719027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 2 2 16:@0.471576:0.751179:0.583422:0.751179:0.583422:0.736429:0.471576:0.736429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.555162:0.742304:0.564267:0.742304:0.564267:0.726085:0.555162:0.726085:0.000000
1:@0.572742:0.733777:0.580835:0.733777:0.580835:0.719027:0.572742:0.719027:0.000000
Caja 4:@0.330872:0.794719:0.372837:0.794719:0.372837:0.779606:0.330872:0.779606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.407994:0.786507:0.416087:0.786507:0.416087:0.771757:0.407994:0.771757:0.000000
2:@0.407281:0.803908:0.415374:0.803908:0.415374:0.789158:0.407281:0.789158:0.000000
6:@0.425569:0.778338:0.430995:0.778338:0.430995:0.768448:0.425569:0.768448:0.000000
=:@0.435322:0.795034:0.444427:0.795034:0.444427:0.778815:0.435322:0.778815:0.000000
1 1 1 1 1 1:@0.449320:0.786507:0.576848:0.786507:0.576848:0.771757:0.449320:0.771757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 2 2 2 2:@0.448606:0.803909:0.576135:0.803908:0.576135:0.789158:0.448606:0.789159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.579969:0.795034:0.589074:0.795034:0.589074:0.778815:0.579969:0.778815:0.000000
1:@0.598395:0.786507:0.606488:0.786507:0.606488:0.771757:0.598395:0.771757:0.000000
64:@0.593585:0.803909:0.609589:0.803909:0.609589:0.789159:0.593585:0.789159:0.000000:0.000000
Interdisciplinariedad:@0.117973:0.150534:0.270852:0.150534:0.270852:0.133633:0.117973:0.133633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.18.:@0.100454:0.929987:0.146364:0.929987:0.146364:0.919232:0.100454:0.919232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calcular potencias de números racionales con exponentes enteros.:@0.146364:0.929987:0.460493:0.929987:0.460493:0.920016:0.146364:0.920016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.19.:@0.100454:0.940047:0.146364:0.940047:0.146364:0.929292:0.100454:0.929292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calcular raíces de números racionales no negativos en la solución de ejercicios numéricos (con operaciones combinadas) y algebraicos, atendiendo la :@0.146364:0.940047:0.873711:0.940047:0.873711:0.930075:0.146364:0.930075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jerarquía de la operación.:@0.100454:0.950107:0.218131:0.950107:0.218131:0.940135:0.100454:0.940135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cada uno repartió la mitad de lo que tenía.:@0.623241:0.197682:0.822685:0.197682:0.822685:0.187711:0.623241:0.187711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000