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 445: 84

Answer

$10^{10}$

Work Step by Step

Given : $\frac{10^{7}\times10^{0}}{10^{-3}}$ This becomes : $\frac{10^{7+0}}{10^{-3}}$ (since $a^{m}\times a^{n}=$ $a^{m+n}$) This becomes : $10^{7-(-3)}$ (since $\frac{a^{m}}{a^{n}} = $ $a^{m-n}$) Hence, final result : $10^{10}$
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