Simplify fifth root of -243x^10y^5

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

Step 1

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

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

Step 2

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

$- 3 x^{2} y$

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