Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.8 - Exponents and Order of Operations - Exercise Set - Page 100: 89

Answer

The expression that we will evaluate is $-10 - (-2)^3$. The expression is evaluated to $-2$.

Work Step by Step

First, let's translate this problem into an algebraic expression we can simplify: Cube $-2$ means $(-2)^3$. We subtract this expression from $-10$ to get the following expression: $$-10 - (-2)^3$$ According to order of operations, let's evaluate the exponent first: $$-10 - (-8)$$ When we subtract a negative number, this means that we add the number: $$-10 + 8$$ Let's do the addition: $$-2$$ The expression is evaluated to $-2$.
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