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Simplify
$[(\frac{3}{5})^{5}$ $\times$ $(\frac{2}{7})^{3} ]$ $\div [(\frac{-3}{7})^{4} \times (\frac{2}{5})^{5}]$
Given: $[(\frac{3}{5})^{5}$ $\times$ $(\frac{2}{7})^{3} ]$ $\div [(\frac{-3}{7})^{4} \times (\frac{2}{5})^{5}]$
To do: Solve the expression.
Solution:
$[(\frac{3}{5})^{5}$ $\times$ $(\frac{2}{7})^{3} ]$ $\div [(\frac{-3}{7})^{4} \times (\frac{2}{5})^{5}]$
= $(\frac{3}{5})^{5}$ $\times$ $(\frac{2}{7})^{3} $ $\times [(\frac{7}{-3})^{4} \times (\frac{5}{2})^{5}]$
= $(-1)^{4}\times 2^{3-5} \times 3^{5-4} \times 5^{5-5})\times 7^{4-3}$
=$\frac{3 \times 7}{2 \times 2}$
= $\frac{21}{4}$ Answer
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