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: 15



Work Step by Step

$(\frac{10^6}{10^8})^2\longrightarrow$ to raise a power to a power, multiply the exponents $=\frac{10^{12}}{10^{16}}^\longrightarrow$ to divide powers subtract the exponents $=10^{12-16}$ $=10^{-4}\longrightarrow$ express the result using a positive exponent $=\frac{1}{10^4}$
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