Question

The value of $(\frac{2}{5}{)}^{-3}$ is

$\left(a\right)-\frac{8}{125}$

$\left(b\right)\frac{25}{4}$

$\left(c\right)\frac{125}{8}$

$-\frac{2}{5}$

Answer 1

$(\frac{2}{5}{)}^{-3}=(\frac{5}{2}{)}^3=\frac{5\times 5\times 5}{2\times 2\times }=\frac{125}{8}$