Answer:

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