Question

What are the steps for (4^-2x4^-3)^3?

Answer 1

`(x^3)/(1024^3)`

Explanation:

Use negative power rule: x^-a=1/x^a.

(1/4^2x * 4^-3)^3

simplify 4^2 to 16

(1/16x * 4 ^-3)^3

Use negative power rule: x^-a=1/x^a.

(1/16x * 1/4^3)^3

simplify 4^3 to 64.

(1/16x * 1/64)^3

use this rule: a/b * c/d = ac/bd.

(1*x*1/16*64)^3

Simplify the top part

(x/16*64)^3

Simplify the bottom

(x/1024)^3

use division distributive property: (x/y)^a=x^a/y^a.

x^3/1024^3