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: 55

Answer

A. The pattern is $\frac{1}{25}$, $\frac{1}{5}$, 1, 5, 25 B. $5^{4}$ = 625 C. $a^{n}$

Work Step by Step

A. The pattern is $\frac{1}{25}$, $\frac{1}{5}$, 1, 5, 25 $\frac{1}{5^{2}}$ = $\frac{1}{25}$ $\frac{1}{5^{1}}$ = $\frac{1}{5}$ $\frac{1}{5^{0}}$ = $\frac{1}{1}$ = 1 $\frac{1}{5^{-1}}$ = $5^{1}$ = 5 $\frac{1}{5^{-2}}$ = $5^{2}$ = 25 B. $\frac{1}{5^{-4}}$ = $5^{4}$ = 625 C. $\frac{1}{a^{-n}}$ = $a^{n}$ Therefore, the expression in terms of a is $a^{n}$
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