$$[(\frac{2}{5})^{5}\times(\frac{4}{5})^{3}]\div(\frac{16}{25})^{4}$$
$\frac{1}{32}=0.03125$
$$\frac{\frac{32}{3125}\times \left(\frac{4}{5}\right)^{3}}{\left(\frac{16}{25}\right)^{4}}$$
$$\frac{\frac{32}{3125}\times \frac{64}{125}}{\left(\frac{16}{25}\right)^{4}}$$
$$\frac{\frac{32\times 64}{3125\times 125}}{\left(\frac{16}{25}\right)^{4}}$$
$$\frac{\frac{2048}{390625}}{\left(\frac{16}{25}\right)^{4}}$$
$$\frac{\frac{2048}{390625}}{\frac{65536}{390625}}$$
$$\frac{2048}{390625}\times \frac{390625}{65536}$$
$$\frac{2048\times 390625}{390625\times 65536}$$
$$\frac{2048}{65536}$$
$$\frac{1}{32}$$
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$\frac{1}{2 ^ {5}} = 0.03125$
