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Potencias con base racional y exponente entero

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Potencias con base racional y exponente entero

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Reto sobre fracciones y exponentes

Created by

DAYANA GONZALEZ
DAYANA GONZALEZ
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Potencias con base racional y exponente entero
 

Potencias con base racional y exponente enteroOnline version

Reto sobre fracciones y exponentes

by DAYANA GONZALEZ
1

Tengo una base que es una fracción y un exponente que es un entero. Al elevar, la fracción se multiplica por sí misma tantas veces como indique el exponente; si el exponente es negativo, la fracción se invierte y se eleva igual. ¿Qué tipo de potencia soy y qué reglas la gobiernan?

Pistas

Pista 3: al elevar, usa las reglas a^n = a·a·... (n veces) para n>0 y (a/b)^n = a^n/b^n para n>0; para n<0 invierte primero

Pista 2: exponentes enteros pueden ser positivos, negativos o cero; negativo implica invertir la fracción

Pista 1: base racional = una fracción (numerador/denominador)

 
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