Chapter SH, Problem 9.6.8EP

To determine

  ${\left(-4c\right)}^2$ need to simplify.

Answer to Problem 9.6.8EP

  ${\left(-4c\right)}^2=-16c^2$

Explanation of Solution

Given:

  ${\left(-4c\right)}^2$

Concept Used:

Product rule:

  ${\left(ab\right)}^m=a^m{b}^m$

Calculation:

The given number is: ${\left(-4c\right)}^2$

Here,

  $m=2$

By using the product rule:

  ${\left(ab\right)}^m=a^m{b}^m$

Put the given values:

  $\begin{array}{l}{\left(-4c\right)}^2=-4^2{c}^2\\ {\left(-4c\right)}^2=-16c^2\end{array}$

Conclusion:

Hence, ${\left(-4c\right)}^2=-16c^2$ .