The problem asks to evaluate the expression $(-\sqrt{\frac{5}{3}})^2$.

1. Problem Description

The problem asks to evaluate the expression $(-\sqrt{\frac{5}{3}})^2$.

2. Solution Steps

We are asked to evaluate $(-\sqrt{\frac{5}{3}})^2$.

This can be rewritten as $(-\sqrt{\frac{5}{3}})(-\sqrt{\frac{5}{3}})$.

Since the product of two negative numbers is positive, we have $(-\sqrt{\frac{5}{3}})(-\sqrt{\frac{5}{3}}) = (\sqrt{\frac{5}{3}})(\sqrt{\frac{5}{3}})$.

The square root of a number multiplied by itself equals the original number.

Therefore, $(\sqrt{\frac{5}{3}})(\sqrt{\frac{5}{3}}) = \frac{5}{3}$.

3. Final Answer

$\frac{5}{3}$