Simplify fourth root of 81x^8y^16

$\sqrt[4]{81 x^{8} y^{16}}$

Step 1

Rewrite $81 x^{8} y^{16}$ as ${(3 x^{2} y^{4})}^{4}$ .

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

Step 2

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

$3 x^{2} y^{4}$

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