Question

Express the following in the simplest form :

${\left(\frac{-3}{2}\right)}^4$

Answer 1

Given that , ${\left(\frac{-3}{2}\right)}^4$

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

$=\frac{-3\times -3\times -3\times -3}{2\times 2\times 2\times 2}$

$=\frac{81}{16}$

Hence, the required value is $\frac{81}{16}$ .