$$(\frac{2}{5})^{5}\div\frac{2^{9}}{5}$$
$\frac{1}{10000}=0.0001$
$$\frac{\frac{32}{3125}}{\frac{2^{9}}{5}}$$
$$\frac{\frac{32}{3125}}{\frac{512}{5}}$$
$$\frac{32}{3125}\times \frac{5}{512}$$
$$\frac{32\times 5}{3125\times 512}$$
$$\frac{160}{1600000}$$
$$\frac{1}{10000}$$
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$\frac{1}{2 ^ {4} \cdot 5 ^ {4}} = 0.0001$
