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: 29



Work Step by Step

$(\frac{10^5\times10^{-2}}{10^{-4}})^2$ to multiply powers of 10 add the exponents $=(\frac{10^{5+(-2)}}{10^{-4}})^2$ $=(\frac{10^3}{10^{-4}})^2$ to divide powers of 10, subtract the exponents $=(10^{3-(-4)})^2$ $=(10^{3+4})^2$ $=(10^{7})^2\longrightarrow$ to raise a power to a power multiply the exponents $=10^{14}$
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