How do you simplify #[4 * x * (y^ -2)] / {12 * [x^ (-1/3)] * (y^ -5)}#?

1 Answer
Jul 2, 2016

Answer:

# = (x^(4/3) * y^3)/3 " or " (root(3)(x^4) * y^3)/3#

Explanation:

A first step would be to simplify what we can easily and sort out the negative indices. Divide the numbers, then move the bases with the negative indices to make them positive.

#[cancel4 * x * (y^ -2)] / {cancel12^3 * [x^ (-1/3)] * (y^ -5)}#

=#[x * x^ (1/3) * (y^ 5)] / {3 * (y^ 2)}#

# = (x^(4/3) * y^3)/3#