Question

The value of ${\left({\left(\frac{3}{2}\right)}^{-1}\right)}^{-2}$ is

• A. $\frac{4}{9}$
• B. $\frac{-4}{9}$
• C. $\frac{-9}{4}$
• D. $\frac{9}{4}$

Answer 1

The correct option is D $\frac{9}{4}$

${\left({\left(\frac{3}{2}\right)}^{-1}\right)}^{-2}={\left(\frac{3}{2}\right)}^{-1\times -2}$

$={\left(\frac{3}{2}\right)}^2=\frac{3\times 3}{2\times 2}=\frac{9}{4}$