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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Updated on: 10-Oct-2022

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