Chapter 4.1, Problem 27WE

a.

To determine

To Simplify: The expression $-4^2\cdot 3$ .

Answer to Problem 27WE

The required answer is $-48$ .

Explanation of Solution

Given information:

The given expression $-4^2\cdot 3$ .

Calculation:

  $\begin{array}{l}=-4^2\cdot 3\\ =-\left(4\cdot 4\right)\cdot 3\\ =-16\cdot 3\\ =-48\end{array}$

(Simplify)

b.

To determine

To Simplify: The expression ${\left(-4\cdot 3\right)}^2$ .

Answer to Problem 27WE

The required answer is $144$ .

Explanation of Solution

Given information:

The given expression ${\left(-4\cdot 3\right)}^2$ .

Calculation:

  $\begin{array}{l}={\left(-4\cdot 3\right)}^2\\ ={\left(-12\right)}^2\\ =\left(-12\right)\cdot \left(-12\right)\\ =144\end{array}$

(Simplify)