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Quiz de Potencias: Bases y Exponentes

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Quiz de Potencias: Bases y Exponentes

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Propiedades clave de potencias

Created by

Ana Judith Renderos de Amaya
Ana Judith Renderos de Amaya
El Salvador

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Quiz de Potencias: Bases y Exponentes
 

Quiz de Potencias: Bases y ExponentesOnline version

Propiedades clave de potencias

by Ana Judith Renderos de Amaya
1

¿Cuál es la regla para potencias con la misma base al multiplicarlas?

2

Si m=n, ¿a^m × a^n qué resulta?

3

Propiedad de potencias con igual exponente natural: (a^m)^n = ?

4

¿Qué dice la regla de exponente cero?

5

¿Cómo se interpreta un exponente negativo?

6

Si a=1, ¿(a^m)^n = ?

7

True o False: 3^2 × 3^3 = 3^5

8

True o False: (2^3)^2 = 2^6

9

Simplifica: (a^m)/(a^n)

10

True o False: a^m × a^n = a^(n−m)

11

Problema: Calcular 3^4 × 3^2

12

Problema: (2^3)^3 = ?

13

Problema: 5^0 × 5^4 = ?

14

Problema: Expresa 7×7^(-3) como una potencia de 7

15

Problema: Si a^0 × a^5 = ? con a≠0

Explicación

Al multiplicar potencias con la misma base se suman los exponentes.

Cuando m=n, se duplica el exponente: a^(m+n)=a^(2m).

Potencias elevadas a otra potencia multiplican los exponentes.

Cualquier base distinta de 0 elevada a 0 da 1.

Exponentes negativos equivalen a la recíproca de la base elevada al positivo.

1 elevado a cualquier cosa es 1; también (1^m)^n = 1.

Usamos la suma de exponentes cuando la base es la misma.

Una potencia elevada a otra potencia multiplica exponentes.

La división de potencias con igual base resta exponentes.

La regla correcta es suma de exponentes, no resta.

Sumamos exponentes: 4+2=6.

Potencias anidadas: 3×3 = 9.

Cualquier base con exponente cero es 1; multiplicando conserva el mayor exponente.

Se resta exponentes: 1+(-3) = -2.

0 no aparece; la regla da a^5.

 
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