Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 25

Answer

4 $\times$ $10^{-5}$

Work Step by Step

You have $\frac{3.6 *10^-{^1}{^0}}{9 * 10^-{^6}}$.Simplify: $\frac{3.6 *10^-{^1}{^0}}{9 * 10^-{^6}}$ -subtract the exponents- $10^{-10-(-6)}$=$10^{-4}$ $\frac{3.6}{9}$ $\times$ $10^{-4}$ -divide the terms- 0.4 $\times$ $10^{-4}$ -write the number in the correct format by moving the decimal over and subtracting -1 from the exponent- =4 $\times$ $10^{-5}$
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