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: 62

Answer

a) $a^n \cdot a^{-n} = 1$ b) $a^n$ and $a^{-n}$ are reciprocals

Work Step by Step

a) $a^n \cdot a^{-n} = a^{n+(-n)} = a^0 = 1$ b) We know that $a^n \cdot a^{-n} = 1$. Because of this, we find that $a^n$ and $a^{-n}$ are reciprocals.
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