Answer
$5^{\frac{1}{5}}x^{\frac{2}{5}}y^{\frac{3}{5}}$
Work Step by Step
Step 1: $\sqrt[5] (5x^{2}y^{3})$
Step 2: $(5x^{2}y^{3})^{\frac{1}{5}}$
Step 3: $5^{\frac{1}{5}} \times x^{\frac{2}{5}} \times y^{\frac{3}{5}}$
Step 4: $5^{\frac{1}{5}}x^{\frac{2}{5}}y^{\frac{3}{5}}$