Question

Find the value of ${\left(\frac{2}{5}\right)}^{-2}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

${\left(\frac{2}{5}\right)}^{-2}$ = $\frac{1}{{\left(\frac{2}{5}\right)}^2}$
As, $a^{-1}$ = $\frac{1}{a}$
Here a = $\frac{2}{5}$
So, ${\left(\frac{2}{5}\right)}^{-2}$ = $\frac{1}{{\left(\frac{2}{5}\right)}^2}$
=$\frac{1}{\frac{4}{25}}$
=$\frac{25}{4}$