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.
Algebra 1
by Hall, Prentice
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 - Page 418: 62
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