Chapter 6.6, Problem 8CYU

To determine

Evaluate the expression $\frac{24}{4^{\frac{3}{2}}}$ .

Answer to Problem 8CYU

The evaluated value of expression $\frac{24}{4^{\frac{3}{2}}}$ is $3$ .

Explanation of Solution

Given information: The given expression is $\frac{24}{4^{\frac{3}{2}}}$ .

Calculation: The given expression $\frac{24}{4^{\frac{3}{2}}}$ can be evaluated as,

  $\begin{array}{c}\frac{24}{4^{\frac{3}{2}}}=\frac{24}{{\left(2\times 2\right)}^{\frac{3}{2}}}\mathrm{.....}\left(\text{Factorizing}\right)\\ =\frac{24}{{\left(2\right)}^{\left(2\right)\left(\frac{3}{2}\right)}}\\ =\frac{24}{{\left(2\right)}^3}\\ =\frac{24}{8}\\ =3\end{array}$