Question
Simplify and express the following in exponential form:
$\Big({\frac{2}{3}}\Big)^5\times\Big(\frac{3}{5}\Big)^5$
$\Big({\frac{2}{3}}\Big)^5\times\Big(\frac{3}{5}\Big)^5$
✓
Answer
$\Big({\frac{2}{3}}\Big)^5\times\Big(\frac{3}{5}\Big)^5$
We know that, $\left(a^m \times b^m\right)=(a \times b)^m$
$=\Big(\frac{2}{3}\times\frac{3}{5}\Big)^5$
$=\Big(\frac{2}{5}\Big)^5$
We know that, $\left(a^m \times b^m\right)=(a \times b)^m$
$=\Big(\frac{2}{3}\times\frac{3}{5}\Big)^5$
$=\Big(\frac{2}{5}\Big)^5$
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