Simplify fifth root of -32x^15y^10

$\sqrt[5]{- 32 x^{15} y^{10}}$

Step 1

Rewrite $- 32 x^{15} y^{10}$ as ${(- 2 x^{3} y^{2})}^{5}$ .

$\sqrt[5]{{(- 2 x^{3} y^{2})}^{5}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$- 2 x^{3} y^{2}$