$$(\frac{125}{8})^{1/3}\times(\frac{25}{16})^{\frac{-3}{2}}\times(\frac{625}{64})^{\frac{1}{2}}$$
$4$
$$\frac{5}{2}\times \left(\frac{25}{16}\right)^{\frac{-3}{2}}\times \left(\frac{625}{64}\right)^{\frac{1}{2}}$$
$$\frac{5}{2}\times \left(\frac{25}{16}\right)^{-\frac{3}{2}}\times \left(\frac{625}{64}\right)^{\frac{1}{2}}$$
$$\frac{5}{2}\times \frac{64}{125}\times \left(\frac{625}{64}\right)^{\frac{1}{2}}$$
$$\frac{32}{25}\times \left(\frac{625}{64}\right)^{\frac{1}{2}}$$
$$\frac{32}{25}\times \frac{25}{8}$$
$$4$$
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$2^{2}$
