Question
Simplify $\Big(\frac{3125}{243}\Big)^{\frac{4}{5}}.$
✓
Answer
$\Big(\frac{3125}{243}\Big)^{\frac{4}{5}}$$=\Big(\frac{5^5}{3^5}\Big)^{\frac{4}{5}}$
$=\Big(\frac{5}{3}\Big)^{5\times\frac{4}{5}}$
$=\Big(\frac{5}{3}\Big)^4$
$=\frac{625}{81}$
$=\Big(\frac{5}{3}\Big)^{5\times\frac{4}{5}}$
$=\Big(\frac{5}{3}\Big)^4$
$=\frac{625}{81}$
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