Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - Chapters 1-5 Cumulative Review Problem Set - Page 233: 1

Answer

$130$

Work Step by Step

Order of operations follow the PEMDAS rule. First Priority: P -Parentheses Second Priority: E - exponents Third Priority: M/D - Multiplication or division, whichever comes first from the left Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left Simplify within the parentheses to obtain: $=5 + 3(-5)^2 \div 3 \cdot 5$ Apply the exponent to obtain: $=5 + 3(25) \div 3 \cdot 5$ Multiply 3 and 25 to obtain: $=5 + 75 \div 3 \cdot 5$ Perform the division to obtain: $=5 + 25 \cdot 5$ Multiply first, and then add to obtain: $=5+125 \\=130$
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