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Propiedades de la potencia (enteros)

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Prop de potencias

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Argentina

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Propiedades de la potencia (enteros)
 

Propiedades de la potencia (enteros)Online version

Prop de potencias

by yanina paredes
1

Si a ≠ 0 y m,n son enteros, ¿qué dice la ley a^m · a^n?

2

¿Cuál es la regla para (a^m)^n?

3

¿Qué expresa (ab)^n en términos de a^n y b^n?

4

Si a ≠ 0, ¿qué representa a^0?

5

¿Qué sucede con a^−n para n>0?

6

¿Qué expresa (a^m)/(a^n) cuando a ≠ 0?

7

Si multiplicas potencias con la misma base, ¿qué regla aplica?

8

¿Qué pasa cuando elevas una potencia a otra potencia?

9

Si (−2)^3 = −8, ¿qué dice sobre signos y potencias impares?

10

¿Qué ocurre con la regla (ab)^n para enteros n?

Explicación

La base es la misma, se suman los exponentes.

Al elevar potencias, se multiplican los exponentes.

La potencia se distribuye: cada factor elevado a n.

Cualquier número distinto de 0 elevado a 0 es 1.

Exponente negativo mueve la potencia al denominador.

Se restan los exponentes con la misma base.

Regla base: exponentes se suman.

Propiedad de potencias anidadas.

Con bases negativas, potencias ímpares conservan signo.

La potencia se aplica a cada factor de la multiplicación.

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