Chapter 4.2, Problem 9OE

To determine

Simplify the expression ${\left(p^{3}q\right)}^2$ if the exponents of variables represent positive integers.

Answer to Problem 9OE

The simplified value of expression is $p^6{q}^2$ .

Explanation of Solution

Given information: The given expression is ${\left(p^{3}q\right)}^2$ .

Calculation: Simplifying the expression ${\left(p^{3}q\right)}^2$ ,

  $\begin{array}{c}{\left(p^{3}q\right)}^2={\left(p^3\right)}^2{\left(q\right)}^2\mathrm{....}\left\{{\left(ab\right)}^n={\left(a\right)}^n{\left(b\right)}^n\right\}\\ =p^6{q}^2\end{array}$