Question
Express the following as a rational number:
$\Big(\frac{2}{3}\Big)^5$
$\Big(\frac{2}{3}\Big)^5$
✓
Answer
$\Big(\frac{2}{3}\Big)^5=\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}$
$=\frac{2\times2\times2\times2\times2}{3\times3\times3\times3\times3}=\frac{32}{243}$
$=\frac{2\times2\times2\times2\times2}{3\times3\times3\times3\times3}=\frac{32}{243}$
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