Simplify fifth root of -32x^5y^2

$\sqrt[5]{- 32 x^{5} y^{2}}$

Step 1

Rewrite $- 32 x^{5} y^{2}$ as ${(- 2 x)}^{5} y^{2}$ .

Rewrite $- 32$ as ${(- 2)}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} x^{5} y^{2}}$

Rewrite ${(- 2)}^{5} x^{5}$ as ${(- 2 x)}^{5}$ .

$\sqrt[5]{{(- 2 x)}^{5} y^{2}}$

Step 2

Pull terms out from under the radical.

$- 2 x \sqrt[5]{y^{2}}$