Question

O quociente de 8³x-⁴ por √4²-x é:

a)2
b)2 ^8x-10
c) 4^5x-7
d) 1
e) 2x​

Answer 1

Resposta:

C

Explicação passo-a-passo:

= 8^(3x-4) / \/(4^(2-x)

= 2^3.(3x-4)/ \/[2^2](2-x)

= 2^(9x-12) / [2^(4-2x)]^1/2

= 2^(9x-12)/ 2^ (4.1/2 - 2x/2)

= 2^(9x-12) / 2^2 - 2^(x)

= 2^9x / 2^12 ÷ 2^2 / 2^(x)

= 2^9x / 2^12 . 2^(x) / 2^2

= 2^9x . 2^(x) / 2^(12+2)

= 2^(9x + x) / 2^14

= 2^ (10x) / 2^ 14

= 2^ (10x - 14)

= (2^2)^ 5x / (2^2)^7

= 4^(5x) / 4^7

= 4^ (5x - 7)

R.: c