## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 27

#### Answer

$4.2 \times 10^{3}$

#### Work Step by Step

$\dfrac{a^m}{a^n}=a^{m-n}, a\ne0$ Divide the corresponding parts while using the rule above to obtain: $=\dfrac{8.4}{2} \times \dfrac{10^{-5}}{10^{-8}} \\=4.2 \times 10^{-5-(-8)} \\=4.2 \times 10^{-5+8} \\=4.2 \times 10^{3}$

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