Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.6 - Scientific Notation - Exercises - Page 127: 79


$$9.06\times 10^{-11}.$$

Work Step by Step

We have $$\left(\frac{ 1.3\times 10^4 }{(2.6\times 10^{-3})(5.1\times 10^8)}\right)^5=\left(\frac{ 1.3\times 10^4 }{13.26\times 10^5}\right)^5\\ =(0.098\times 10^{-1})^5 =0.00000906\times 10^{-5}\\ =9.06\times 10^{-11}.$$
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