Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 62


Not equivalent

Work Step by Step

Given $(x^2)^3=x^{2+3}=x^6$ and $x^{{2}^3}=x^8$ The expressions are not equivalent because the parentheses changed what is being cubed. In the first expression, the exponent affects the entire value in parentheses. But in the second expression, there are no parentheses, so 2 and 3 are added.
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