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: 80

Answer

$$2.04\times 10^{-21}.$$

Work Step by Step

We have $$\left(\frac{ 9.6\times 10^{-3} }{(2.45\times 10^{-4})(1.1\times 10^5)}\right)^6=\left(\frac{ 9.6\times 10^{-3} }{2.695\times 10}\right)^6\\ =(3.562\times 10^{-4})^6 =2042.507\times 10^{-24}\\ =2.04\times 10^{-21}.$$
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