Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set: 67

Answer

$-5$

Work Step by Step

Using order of operations, the given expression, $ \dfrac{-3^3-2\cdot3^2}{8\div2^2-(6-|2-15|)} $, evaluates to \begin{array}{l} \dfrac{-27-2\cdot9}{8\div4-(6-|-13|)} \\\\= \dfrac{-27-18}{2-(6-13)} \\\\= \dfrac{-45}{2-(-7)} \\\\= \dfrac{-45}{2+7} \\\\= \dfrac{-45}{9} \\\\= -5 .\end{array}
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