Simplify fifth root of -32x^30y^4

$\sqrt[5]{- 32 x^{30} y^{4}}$

Step 1

Rewrite $- 32 x^{30} y^{4}$ as ${(- 2 x^{6})}^{5} y^{4}$ .

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

$\sqrt[5]{{(- 2)}^{5} x^{30} y^{4}}$

Rewrite $x^{30}$ as ${(x^{6})}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} {(x^{6})}^{5} y^{4}}$

Rewrite ${(- 2)}^{5} {(x^{6})}^{5}$ as ${(- 2 x^{6})}^{5}$ .

$\sqrt[5]{{(- 2 x^{6})}^{5} y^{4}}$

Step 2

Pull terms out from under the radical.

$- 2 x^{6} \sqrt[5]{y^{4}}$