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: 30



Work Step by Step

$(\frac{10^{-7}\times10^{-2}}{10^9})^{-3}$ to multiply powers of 10 add the exponents $=(\frac{10^{-7+(-2)}}{10^9})^{-3}$ $=(\frac{10^{-9}}{10^9})^{-3}2$ to divide powers of 10, subtract the exponents $=(10^{-9-9)})^{-3}$ $=(10^{-18})^{-3}\longrightarrow$ to raise a power to a power multiply the exponents $=10^{-54}$ $=\frac{1}{10^{54}}$
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