Chapter 4.3, Problem 5MRE

To determine

To simplify: the expression

  ${\left(3\cdot 7\right)}^2$

Answer to Problem 5MRE

  ${\left(3\cdot 7\right)}^2=441$

Explanation of Solution

Given:

  ${\left(3\cdot 7\right)}^2$

Concept Used:

• If an expression contains more than one operation between its terms and brackets, first solve the terms inside brackets and then simplify the power term if there is any, and then apply division followed by multiplication, addition and subtraction.

Calculation:

To simplify the expression

  ${\left(3\cdot 7\right)}^2$

First, perform the operation inside the parenthesis, which is multiplication, as

  ${\left(3\cdot 7\right)}^2={21}^2$

Now, simplify the power term, as

  $\begin{array}{c}{21}^2=21\times 21\\ =441\end{array}$

Thus,

  ${\left(3\cdot 7\right)}^2=441$