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Simplify
$\frac{(\frac{-3}{4})^{5} \times \frac{125}{27}} {[\frac{5}{3}\times{ 9}{16}]}$
Given: $\frac{(\frac{-3}{4})^{5} \times \frac{125}{27}} {[\frac{5}{3}\times{ 9}{16}]}$
To do: Simplify the given expression.
Solution:
$\frac{(\frac{-3}{4})^{5} \times \frac{125}{27}} {[\frac{5}{3}\times{ 9}{16}]}$
=$(-1)^{5}$ $\times$ $\frac{243}{1024} \times \frac{125}{27} \times \frac{3}{5} \times {16}{9}$
= $ -1\frac{75}{64}$
= $ \frac{75}{64}$
Therefore, the answer is $ \frac{75}{64}$
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