Example Question - simplifying radicals

Finding the Equivalent Expression for a Radical Expression

\[ \mathrm{Given:} \sqrt[3]{x^9y^3} \quad \mathrm{and} \quad x, y \text{ are positive} \] \[ \sqrt[3]{x^9y^3} = \sqrt[3]{(x^3)^3y^3} = x^3 \cdot \sqrt[3]{y^3} = x^3y \] \[ \mathrm{Answer:} \quad x^3y \]