Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.5 - Powers of 10 - Exercises - Page 122: 25



Work Step by Step

$\frac{10^8\times10^{-6}\times10^{10}\times10^0}{10^4\times10^{-17}\times10^8}\longrightarrow$ to multiply powers of 10, add the exponents $=\frac{10^{8+(-6)+10+0}}{10^{4+(-17)+8}}$ $=\frac{10^{12}}{10^{-5}}\longrightarrow$ to divide powers of 10, subtract the exponents $=10^{12-(-5)}$ $=10^{12+5}$ $=10^{17}$
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