Question

How do you simplify `(\frac{x^{-7}y^{4}}{x^{-4}y^{8}})^{-5}`?

Answer 1

`x^15y^20`

Explanation:

First, we simplify the fraction.
`((x^-7y^4)/(x^-4y^8))^-5=(x^(-7cancel(-)(cancel(-)4))y^(4-8))^-5`
Then, we solve the bracket.
`(x^-3y^-4)^color(blue)(-5)=x^(-3*(color(blue)(-5)))y^(-4*(color(blue)(-5)))=x^15y^20`