Question

Evaluate the following :

${(-2/-9)}^3$.

Answer 1

Given, ${(-2/-9)}^3$.

In ${(-2/-9)}^3$, base is $\frac{-2}{-9}$ and power is $3$.

Now,

${(-2/-9)}^3=(-2/-9)\times (-2/-9)\times (-2/-9)$

$=\frac{-2}{-9}\times \frac{-2}{-9}\times \frac{-2}{-9}$

$=\frac{-8}{-729}$

$=\frac{8}{729}$

Hence, ${(-2/-9)}^3=\frac{8}{729}$.