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Potenciación: Conceptos y ejercicios

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Potenciación: Conceptos y ejercicios

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Conceptos y ejercicios de potencia

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Elio Armando Cables Fernández
Elio Armando Cables Fernández
Ecuador

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Potenciación: Conceptos y ejercicios
 

Potenciación: Conceptos y ejerciciosOnline version

Conceptos y ejercicios de potencia

by Elio Armando Cables Fernández
1

¿Qué es la potenciación?

2

Propiedades clave de las potencias: ¿qué dice la regla de la base igual para potencias con la misma base?

Escoge una o varias respuestas

3

Propiedad de una potencia de un cociente: ¿cómo se expresa (a/b)^n?

4

Propiedad de potencias de un producto: ¿cómo se expresa (a·b)^n?

5

Ejercicio 1: Exprese las siguientes potencias como una multiplicación de factores iguales: (-3)^4

6

Ejercicio 1: Exprese las siguientes potencias como una multiplicación de factores iguales: 10^6

7

(2^3) × (3^2) = ?

8

(5^2) ÷ (5^1) = ?

9

(2^4) × (2^3) = ?

10

(9^2) ÷ (3^2) = ?

11

(6^2) × (4^1) = ?

12

(8^3) ÷ (2^5) = ?

13

(3^5) ÷ (3^2) = ?

14

(4^3) × (2^2) = ?

15

(7^2) ÷ (7^0) = ?

16

(10^3) ÷ (5^2) × (5^1) = ?

17

¿Cuánto vale 2^5?

18

(3^4)^2 = ?

19

(-2)^3 = ?

20

5^0 = ?

21

Calcule 7^2 * 7^3 = ?

22

¿Cuál es el valor de 9^1?

23

(1/3)^3 = ?

24

(2^3)^4 = ?

25

4^0 = ?

26

10^2 ÷ 10^1 = ?

Explicación

Explica: 2^3=8 y 3^2=9; 8×9=72.

Propiedad de potencias: a^m ÷ a^n = a^(m−n). 5^2 ÷ 5^1 = 5^(2−1)=5.

Sumas de exponentes: 2^4×2^3=2^(4+3)=2^7=128.

(9^2) ÷ (3^2) = (9÷3)^2 = 3^2 = 9.

6^2=36; 4^1=4; 36×4=144.

8^3=2^9=512; 2^5=32; 512÷32=16.

3^5÷3^2=3^(5−2)=3^3=27.

4^3=64; 2^2=4; 64×4=256.

7^0=1; 7^2÷1=49.

Orden de operaciones: 10^3÷5^2=1000÷25=40; 40×5^1=40×5=200.

2^5 = 32 porque se multiplica 2 por sí mismo 5 veces.

Al elevar potencias: (a^b)^c = a^(b·c). 3^8 = 6561.

Un exponente impar conserva el signo negativo.

Cualquier número distinto de 0 elevado a 0 es 1.

Sumas de exponentes: 7^(2+3) = 7^5 = 16807.

Cualquier número a la potencia 1 es el propio número.

(a/b)^3 = a^3/b^3; 1^3/3^3 = 1/27.

2^(3·4) = 2^12 = 4096.

Cualquier base distinta de 0 a la potencia 0 es 1.

Propiedad de potencias: a^m / a^n = a^(m−n).

 
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