Chapter 11, Problem 17SGA

To determine

To Find: The simplification of each expression.

Answer to Problem 17SGA

The simplification of the expression is $\frac{x^{12}}{8}$ .

Explanation of Solution

Given:

The given expression is,

  ${\left(\frac{1}{2}{x}^4\right)}^3$

Calculation:

The expression is simplified as,

  $\begin{array}{c}{\left(\frac{1}{2}{x}^4\right)}^3={\left(\frac{1}{2}\right)}^3{\left(x^4\right)}^3\\ ={\left(\frac{1}{2}\right)}^3\left(x^{12}\right)\\ =\frac{x^{12}}{8}\end{array}$

Thus, the simplification of the expression is $\frac{x^{12}}{8}$ .