Answer
$\frac{x^{2}y^{2}}{49}$
Work Step by Step
Based on the power of a quotient rule, we know that $(\frac{a}{c})^{n}=\frac{a^{n}}{c^{n}}$ (where $n$ is a positive integer and $a$ and $c$ are real numbers).
Therefore, $(\frac{xy}{7})^{2}=\frac{x^{2}y^{2}}{7^{2}}=\frac{x^{2}y^{2}}{49}$.