Chapter EP, Problem 9.1.3EP

To determine

To find: The simplified expression.

Answer to Problem 9.1.3EP

The simplified expressionis $\frac{d}{2}$ .

Explanation of Solution

Given information:

The expressionis $\frac{{\left(-2c{d}^3\right)}^2}{8c^2{d}^5}$ .

Calculation:

Consider the expression.

$\begin{array}{c}\frac{{\left(-2c{d}^3\right)}^2}{8c^2{d}^5}=\frac{4c^2{d}^6}{8c^2{d}^5}\\ =\frac{c^{2-2}{d}^{6-5}}{2}\\ =\frac{c^0{d}^1}{2}\\ =\frac{d}{2}\end{array}$