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 - Page 444: 25

Answer

$4 \times 10^{-5}$

Work Step by Step

$\dfrac{a^m}{a^n}=a^{m-n}, a\ne0$ Divide the corresponding parts while using the rule above to find: $=\dfrac{3.6}{9} \times \dfrac{10^{-10}}{10^{-6}} \\=0.4 \times 10^{-10-(-6)} \\=0.4 \times 10^{-10+6} \\=0.4 \times 10^{-4} \\=(4 \cdot 10^{-1}) \times 10^{-4} \\=4 \times 10^{-1+(-4)} \\=4 \times 10^{-5}$
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