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Solve the following:$(-\frac{2}{3})^{3} \times (-\frac{3}{5})^{3}$
Given:
The given expression is $(-\frac{2}{3})^{3} \times (-\frac{3}{5})^{3}$.
To do :
We have to solve the given expression.
Solution :
$(-\frac{2}{3})^{3} \times (-\frac{3}{5})^{3}$
We know that,
$a^3 . b^3 = (ab)^3$
$(-\frac{2}{3})^{3} \times (-\frac{3}{5})^{3} = (-\frac{2}{3} \times -\frac{3}{5})^3$
$ = (\frac{2}{5})^3$ $[-\times - = +]$
$ = \frac{8}{125}$.
Therefore, the value of $(-\frac{2}{3})^{3} \times (-\frac{3}{5})^{3}$ is $\frac{8}{125}$.
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