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