Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 65

Answer

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

Work Step by Step

The reason why 3$x^{-2}$ and 3$x^{2}$ are not reciprocals is 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 $\frac{3}{x^{2}}$. Thus the the reciprocal of 3$x^{2}$ doesn't equal 3$x^{-2}$.
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