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: 16

Answer

$10^9$

Work Step by Step

$(\frac{10^{-2}}{10^{-5}})^3\longrightarrow$ to raise a power to a power, multiply the exponents $=\frac{10^{-6}}{10^{-15}}^\longrightarrow$ to divide powers subtract the exponents $=10^{-6-(-15)}$ $=10^{-6+15}$ $=10^9$
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