Answer
$\sqrt[3] {xy}$
Work Step by Step
Step 1: The denominator of the exponent becomes the radical’s index. The numerator, on the other hand, remains the exponent of the variable.
Step 2: Therefore, $x^{\frac{1}{3}}y^{\frac{1}{3}}=(xy)^{\frac{1}{3}}=\sqrt[3] {xy}$.