Simplify fifth root of -243x^10y^15

$\sqrt[5]{- 243 x^{10} y^{15}}$

Step 1

Rewrite $- 243 x^{10} y^{15}$ as ${(- 3 x^{2} y^{3})}^{5}$ .

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

Step 2

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

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