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Potenciación y Expresiones

Quiz

Played 24 %Accuracy 79 Average time 02:16

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Desafío de potencias algebraicas

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Bolivia

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Potenciación y Expresiones
 

Potenciación y ExpresionesOnline version

Desafío de potencias algebraicas

by Pablo A. Claros M.
1

1) ¿Cuál es (x^3)^4 en forma simplificada?

2

2) ¿Qué resulta de (2x)^3?

3

(3y)^4 = ?

4

4) Simplifica x^5 / x^2.

5

5) x^7 · x^2 = ?

6

6) (ab)^2 = a^2 b^2. ¿Qué es (ab)^2?

7

7) ¿Qué vale x^0?

8

8) Si x^(-2) · x^3 = ?

9

9) (2x^3y)^2 = ?

10

10) x^5 / x^2 = ?

Explicación

Regla: (a^m)^n = a^{mn}. 3×4=12.

Distribuye el exponente: 2^3=8 y x^3.

3^4=81; y^4 permanece.

Regla de restar exponentes: 5-2=3.

Se suman exponentes: 7+2=9.

Cada factor recibe el exponente 2.

Todo ≡1 cuando exponente es 0 (si x≠0).

Sumas de exponentes: -2+3=1.

Cuadrados: 2^2=4; x^{3×2}=x^6; y^2.

Resta de exponentes: 5-2=3.

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