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: 82



Work Step by Step

Given : $\frac{5.63\times10^{12}}{282.4\times10^{6}}$ This can be written as : $\frac{5.63}{282.4}\times10^{12-6}=$ $0.0199\times10^{6}$ (since $\frac{a^{m}}{a^{n}} =$ $a^{m-n}$) To represent in scientific notation,we shift the decimal places to the right by two places and hence divide by $10^{2}.$ This becomes : $1.99\times10^{6-2}=$ $1.99\times10^{4}$
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