Answer
$\frac{1}{250}$
Work Step by Step
$(\frac{1}{4})^{2}.(\frac{2}{5})^{3}$
= $\frac{1}{4}\times\frac{1}{4} \times \frac{2}{5}\times\frac{2}{5}\times\frac{2}{5}$
= $\frac{1\times1\times2\times2\times2}{4\times4\times5\times5\times5}$ (multiply nominators and denominators)
= $\frac{1\times1\times1\times1\times1}{1\times2\times5\times5\times5}$
= $\frac{1}{250}$
