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Potencias de números racionales

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Potencias de números racionales

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Quiz sobre potencias racionales

Created by

Guadalupe Sullcani cadima 1A
Guadalupe Sullcani cadima 1A
Bolivia

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Potencias de números racionales
 

Potencias de números racionalesOnline version

Quiz sobre potencias racionales

by Guadalupe Sullcani cadima 1A
1

¿Qué indica a^m cuando a es racional y m es entero?

2

Si (3/4)^2 = ?

3

¿Cómo se interpreta (2/5)^(−3)?

4

¿Qué pasa con (−8)^(1/3)?

5

¿Cuál es la propiedad: (ab)^m = a^m b^m?

6

Si a>0, ¿qué significa a^(1/n)?

7

¿Es cierto que (−p)^even = p^even?

8

¿Qué valor tiene (9/16)^(1/2)?

9

Si a>0 y m es racional, ¿cómo se interpreta a^m?

10

¿Qué ocurre con (0)^m para m>0?

Explicación

La definición básica de potencia: base a elevada a un exponente entero.

Potenciación al cuadrado de una fracción: numerador y denominador al cuadrado.

Exponente negativo invertimos la base y aplicamos el exponente positivo.

La raíz cúbica de −8 es −2.

Es una propiedad de potencias para productos.

Racionalizar: exponente 1/n es la raíz n-ésima.

Exponentes pares eliminan el signo negativo.

Raíz cuadrada de 9/16 es (√9)/(√16) = 3/4.

Exponente racional se interpreta como potencias con raíces.

Cualquier base cero elevada a un exponente positivo es 0.

 
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