Simplify fourth root of 16x^4y^8

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

Step 1

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

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

Step 2

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

$2 x y^{2}$

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