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 - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 423: 65


3$x^{2}$ and 3$x^{-2}$ are not reciprocals.

Work Step by Step

3$x^{2}$ and 3$x^{-2}$ are not reciprocal because the reciprocal of 3$x^{2}$ is $\frac{1}{3x^{2}}$ However, when we change the exponent of 3$x^{-2}$ from negative to positive, it becomes $\frac{3}{x^{2}}$ Therefore, the the reciprocal of 3$x^{2}$ doesn't equal 3$x^{-2}$, as they yield different answers.
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