Simplify cube root of 125x^21y^24

$\sqrt[3]{125 x^{21} y^{24}}$

Step 1

Rewrite $125 x^{21} y^{24}$ as ${(5 x^{7} y^{8})}^{3}$ .

$\sqrt[3]{{(5 x^{7} y^{8})}^{3}}$

Step 2

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

$5 x^{7} y^{8}$

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