Algebra 1

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

Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 13: 29

Answer

$1024$

Work Step by Step

We start with the given expression: $(t-s)^5$ We plug in values for $s$ and $t$: $(8-4)^5$ 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. Finally, we add and subtract from left to right. We use these rules to simplify the expression. First, we simplify inside the parentheses (grouping symbols) by subtracting: $4^5$ Next, and finally, we simplify the power: $4\times4\times4\times4\times4=16\times16\times4=256\times4=1024$
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