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 - Practice and Problem-Solving Exercises: 29


$7 \times 10^{-3}$

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: $=\dfrac{3.5}{5} \times \dfrac{10^{6}}{10^{8}} \\=0.7 \times 10^{6-8} \\=(7 \cdot 10^{-1} \times 10^{-2} \\=7 \times 10^{-1+(-2)} \\=7 \times 10^{-3}$
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