Answer
$\frac{1}{100}$
Work Step by Step
$(\frac{5}{8})^{2} \times (\frac{4}{25})^{2}$ = $\frac{5}{8} \times \frac{5}{8} \times\frac{4}{25} \times \frac{4}{25}$ = $\frac{1}{2} \times \frac{1}{2} \times\frac{1}{5} \times \frac{1}{5}$ = $\frac{1}{100}$