Answer
$\sqrt[3] {xy^{2}}$
Work Step by Step
$\sqrt[6] {x^{2}y^{4}}=(x^{2}y^{4})^{\frac{1}{6}}=(x^{2})^{\frac{1}{6}}(y^{4})^{\frac{1}{6}}=(x)^{\frac{1}{3}}(y^{2})^{\frac{1}{3}}=\sqrt[3] {xy^{2}}$
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