Answer
$\sqrt[3]{x^2y}$
Work Step by Step
$$\sqrt[9]{x^6y^3}$$
To convert from a radical expression to an expression with a rational exponent, the exponent becomes the numerator, and the index becomes the denominator:
$$=x^\frac{6}{9}y^\frac{3}{9}$$
Simplify all fractions:
$$=x^\frac{2}{3}y^\frac{1}{3}$$
Convert back to a radical expression - the numerator becomes the exponent, the denominator becomes the index:
$$=\sqrt[3]{x^2y}$$
