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: 27



Work Step by Step

$\frac{(10^{-9})^{-2}}{10^{16}\times10^{-4}}\longrightarrow$ to raise a power to a power multiply the exponents $\frac{10^{18}}{10^{16}\times10^{-4}}\longrightarrow$ to multiply powers of 10, add the exponents $=\frac{10^{18}}{10^{16+(-4)}}$ $=\frac{10^{18}}{10^{12}}\longrightarrow$ to divide powers of 10, subtract the exponents $=10^{18-12}$ $=10^{6}$
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