Question

Tick (✓) the correct answer
The value of ${\left(\frac{2}{5}\right)}^{-3}$ is
(a) $-\frac{8}{125}$
(b) $\frac{25}{4}$
(c) $\frac{125}{8}$
(d) $-\frac{2}{5}$

Answer 1

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

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