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Exponentes en problemas

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Exponentes en problemas

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About this activity

Desafío de exponentes y resoluciones

Created by

Pablo Armando Claros Melean
Pablo Armando Claros Melean
Bolivia

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Exponentes en problemas
 

Exponentes en problemasOnline version

Desafío de exponentes y resoluciones

by Pablo Armando Claros Melean
1

Simplifica (2^3)·(2^5).

2

(x^4)/(x^2) en condiciones x≠0 da:

3

(3^2)^4 resulta en:

4

a^-3 equivale a:

5

Evaluar 5·(2^3)^2 = ?

6

Si x^-2 · x^3 = ?

7

Si a^3 = 27, entonces a = ?

8

(4.2×10^3)/(2×10^2) =

9

Para cualquier a≠0, a^0 = ?

10

(ab)^4 se simplifica como:

Explicación

Aplicación de la regla de potencias: sumar exponents en productos.

Propiedad de potencias: restar exponentes.

Potencias elevadas a otra potencia: multiplicar exponentes.

Exponentes negativos cambian a fracción con exponente positivo.

Primero calcula (2^3)^2 = 2^6 = 64, luego 64·5 = 320.

Sumas de exponentes: -2+3 = 1.

Cubo de 3 es 27, asumiendo números reales positivos; puede haber -3 si se considera complejos, pero en contexto real es 3.

División de números en notación científica: cociente y restas de exponentes.

Regla básica: cualquier base no nula elevada a 0 da 1.

Propiedad de potencias: distribuir el exponente al producto.

 
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