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: 111


$-10-(-2)^3$; The simplified expression is equal to $-2$.

Work Step by Step

The cube of $-2$ is $(-2)^3$. Subtracting this to $-10$ gives: $-10 - (-2)^3$ The order of operations states that to simplify the expression, the exponent must be applied first before the subtraction is performed. Thus, $-10-(-2)^3 = -10-(-8) =-10+8 = -2$
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