$$\frac{8^{-2}\times5^{3}}{2^{-4}}$$
$\frac{125}{4}=31.25$
$$\frac{\frac{1}{64}\times 5^{3}}{2^{-4}}$$
$$\frac{\frac{1}{64}\times 125}{2^{-4}}$$
$$\frac{\frac{125}{64}}{2^{-4}}$$
$$\frac{\frac{125}{64}}{\frac{1}{16}}$$
$$\frac{125}{64}\times 16$$
$$\frac{125}{4}$$
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$\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25$