Chapter 1, Problem 5PT

To determine

Evaluate the expression $\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$ .

Answer to Problem 5PT

The simplified form of the expression $\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$ is $4$ .

Explanation of Solution

Given:

The expression is $\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$ .

Calculation:

The expression $\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$ is simplified as follows:

  $\begin{array}{c}\frac{{\left(2\cdot 4\right)}^2}{7+3^2}=\frac{{\left(8\right)}^2}{7+3^2}\left(\text{Parantheses}\right)\\ =\frac{64}{7+9}\left(\text{Exponent}\right)\\ =\frac{64}{16}\left(\text{Addition in the denominator}\right)\\ =4\left(\text{Divide}\right)\end{array}$

Thus, thesimplified form of the expression $\frac{{\left(2\cdot 4\right)}^2}{7+3^2}$ is $4$ .