Simplify fifth root of -243x^30y^3

$\sqrt[5]{- 243 x^{30} y^{3}}$

Step 1

Rewrite $- 243 x^{30} y^{3}$ as ${(- 3 x^{6})}^{5} y^{3}$ .

Rewrite $- 243$ as ${(- 3)}^{5}$ .

$\sqrt[5]{{(- 3)}^{5} x^{30} y^{3}}$

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

$\sqrt[5]{{(- 3)}^{5} {(x^{6})}^{5} y^{3}}$

Rewrite ${(- 3)}^{5} {(x^{6})}^{5}$ as ${(- 3 x^{6})}^{5}$ .

$\sqrt[5]{{(- 3 x^{6})}^{5} y^{3}}$

Step 2

Pull terms out from under the radical.

$- 3 x^{6} \sqrt[5]{y^{3}}$