Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 270: 114


$\left[(9-11)\cdot 2\right]^4$; The simplified form of the expression is equal to $256$.

Work Step by Step

Subtract 11 from 9: $9-11$ Multiply the difference by $2$: $(9-11) \cdot 2$ Raise the product to the fourth power: $\left[(9-11)\cdot 2\right]^4$ The order of operations states that to simplify the expression, the first step is to simplify the expression inside the parentheses. Thus, $\left[(9-11)\cdot 2\right]^4=(-2 \cdot 2)^4=(-4)^4$ The next step is to apply the exponent: $(-4)^4=(-4)(-4)(-4)(-4)=256$
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