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: 66

Answer

$4$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the order of operations to simplify the given expression, $ \dfrac{(-2)^3+4^2}{2\cdot3-5^2+3\cdot7} .$ $\bf{\text{Solution Details:}}$ Using the order of operations, $PEMDAS$ (Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction), then the given expression simplifies to \begin{array}{l}\require{cancel} \dfrac{(-2)^3+4^2}{2\cdot3-5^2+3\cdot7} \\\\= \dfrac{-8+16}{2\cdot3-25+3\cdot7} \\\\= \dfrac{-8+16}{6-25+21} \\\\= \dfrac{8}{-19+21} \\\\= \dfrac{8}{2} \\\\= 4 .\end{array}
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