Simplify the following

1. [(4x^2)^-1]^-2 / [(-2x^-2)^-3]^-2

2. [(8x^9) / (2x^5)]^-2

3. (-15x^-3) / (25x^-5)

just start working your way from the inside out.

How far do you get?

for example,

[(4x^2)^-1]^-2
= (4x^2)^(-1 * -2)
= (4x^2)^2
= (4)^2 (x^2)^2
= 16x^4

do each factor like that and then simplify.