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Leyes de Potenciación

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Leyes de Potenciación

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About this activity

Domina las leyes de potencias.

Created by

Nelly Flores S.
Nelly Flores S.
Ecuador

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Leyes de Potenciación
 

Leyes de PotenciaciónOnline version

Domina las leyes de potencias.

by Nelly Flores S.
1

Introducción a las leyes de potenciación

Las potencias muestran cuántas veces se multiplica una base. En estas leyes, a es la base y m el exponente. Aprenderás a simplificar expresiones con potencias.

2

Producto de potencias con la misma base

Producto de potencias con la misma base: a^m · a^n = a^(m+n). Sumas de exponentes al mismo base, manteniendo la base constante.

3

Cociente de potencias con la misma base

Cociente de potencias con la misma base: a^m / a^n = a^(m-n). Resta de exponentes manteniendo la base.

4

Potencia de una potencia

Potencia de una potencia: (a^m)^n = a^(m·n). Multiplicamos exponentes al elevar una potencia a otra.

5

Potencia de un producto

Potencia de un producto: (ab)^n = a^n · b^n. Distribuimos la potencia a cada factor del producto.

6

Exponente negativo

Exponente negativo: a^(-n) = 1 / a^n. Representa la inversión de la cantidad y evita fracciones repetidas.

7

Exponente cero

Exponente cero: a^0 = 1 (a ≠ 0). Cualquier base no nula elevada a cero da uno.

8

Propiedad con -1

Propiedad con -1: (-a)^n = (-1)^n · a^n. El signo depende del paridad del exponente.

9

Potencias de cocientes

Cociente elevado a una potencia: (a/b)^m = a^m / b^m. Aplica la potencia a numerador y denominador por separado.

10

Consejos y resumen

Revisa que la base sea la misma antes de sumar o restar exponentes. Usa estas reglas para simplificar y evitar errores.
 
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