\begin{tabular}{l} Evaluate. Write your answer as a fraction in simplest form. \\ Exponents and fractions \\ \( \left(\frac{5}{3}\right)^{3} \) \\ \hline\( \square \)\end{tabular}

To evaluate \( \left(\frac{5}{3}\right)^{3} \), you cube both the numerator and the denominator separately. First, calculate the numerator: \[ 5^{3} = 5 \times 5 \times 5 = 125. \] Next, calculate the denominator: \[ 3^{3} = 3 \times 3 \times 3 = 27. \] Now, combine these results to get the fraction: \[ \left(\frac{5}{3}\right)^{3} = \frac{125}{27}. \] Now, check if this fraction can be simplified. Since 125 and 27 have no common factors, the fraction is already in its simplest form. So, the final answer is: \[ \boxed{\frac{125}{27}}. \]