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