Simplify fourth root of 2401x^12y^16

$\sqrt[4]{2401 x^{12} y^{16}}$

Rewrite $2401 x^{12} y^{16}$ as ${(7 x^{3} y^{4})}^{4}$ .

$\sqrt[4]{{(7 x^{3} y^{4})}^{4}}$

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

$7 x^{3} y^{4}$

Simplify fourth root of 2401x^12y^16

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