Chapter 8.4, Problem 65S

To determine

The solution of the expression.

Answer to Problem 65S

  $8p^6{n}^3$ .

Explanation of Solution

Given information:

Simplify:

  ${(2p^{2}n)}^3$

Calculation:

The given expression is ${(2p^{2}n)}^3$ .

The expression is solved by the property of the product of power are as shown below:

  $\begin{array}{l}$ {(2p^{2}n)}^3\text{ [The original expression]}$8p^6{n}^3\text{ [By using power of product (}xy{)}^a\text{=}{x}^a{y}^a\text{]}\end{array}$

Thus, the solution is $8p^6{n}^3$ .