Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Mixed Review - Page 401: 48

Answer

$113$

Work Step by Step

We start with the given expression: $7^2+2(3^3+5)$ The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. Then, we add and subtract from left to right. We follow the order of operations to simplify: First, we simplify inside the set of parentheses using the order of operations: We simplify powers inside the parentheses: $7^2+2(27+5)$ We add inside the parentheses: $7^2+2(32)$ Then, we simplify powers: $49+2(32)$ Then, we multiply: $49+64$ Finally, we add: $113$
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