Question

How do you simplify `(x^(-3/8) y^(1/4))^16`?

Answer 1

`y^(4)/x^(6)`

Explanation:

use the rule `(a^n)^m = a^(n*m)`

`(x^(-3/8) y^(1/4))^16`

`x^(-3/8*16) y^(1/4*16)`

`x^(-6) y^(4)`

Now use the rule `a^-n=1/a^n`

`y^(4)/x^(6)`