Answer
$$\frac{x^{6}}{y^{15}}$$
Work Step by Step
Raise each factor in the parentheses to the third power:
$$\bigg(\frac{x^{2}}{y^{5}}\bigg)^{3}=\frac{(x^{2})^3}{(y^{5})^3}.$$
Multiply exponents to raise a power to a power:
$$=\frac{x^{2\times 3}}{y^{5\times 3}}=\frac{x^{6}}{y^{15}}.$$
