## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 270: 113

#### Answer

$\left[(7-10)\cdot 2\right]^2$; The simplified expression is equal to 36.

#### Work Step by Step

Subtract 10 from 7: $7 - 10$ Multiply the difference by $2$: $(7-10) \cdot 2$. Square the product: $\left[(7-10)\cdot 2\right]^2$ The order of operations states that to simplify the expression, the first step is to simplify the expression inside the parentheses. Thus, $\left[(7-10)\cdot 2\right]^2=(-3 \cdot 2)^2=(-6)^2$ The next step is to apply the exponent: $(-6)^2=36$

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