Simplify fourth root of 16x^8y^12

$\sqrt[4]{16 x^{8} y^{12}}$

Step 1

Rewrite $16 x^{8} y^{12}$ as ${(2 x^{2} y^{3})}^{4}$ .

$\sqrt[4]{{(2 x^{2} y^{3})}^{4}}$

Step 2

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

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

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