Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 31

Answer

$31$

Work Step by Step

Recall, in order to solve problems involving order of operations, we use the PEMDAS rule. First Priority: P - parentheses and other grouping symbols Second Priority: E - exponents Third Priority: M/D - Multiplication or division, whichever comes first from the left to the right Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left to the right We follow order of operations to obtain that the expression, $ -3(-4)^2-2(-3)^3+(-5)^2 ,$ simplifies to \begin{array}{l}\require{cancel} -3(-4)(-4)-2(-3)(-3)(-3)+(-5)(-5) \\\\= -48+54+25 \\\\= 6+25 \\\\= 31 .\end{array}
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