Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Lesson Check - Page 443: 7


a) Exponents, when dividing powers with the same base, can be subtracted. b) Answers may vary. One example: $\frac{a^4}{a^8} = \frac{1}{a^4}$

Work Step by Step

a) The property used is that $\frac{a^m}{a^n} = a^{m-n}$ when $m$ and $n$ are integers and $a \ne0$. However, when $n > m$, we will have $\frac{1}{a^{n-m}}$. b) $\frac{a^4}{a^8} = \frac{1}{a^{8-4}} = \frac{1}{a^4}$
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