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: 78


$$4.67\times 10^{-23}.$$

Work Step by Step

We divide the two numbers as follows: $$\left(\frac{ 0.0027\times 0.16 }{12,000}\right)^3 =\left(\frac{(2.7\times 10^{-3})(1.6\times 10^{-1})}{1.2\times 10^{4}}\right)^3 \\ =\left(\frac{ 4.32\times10^{-4} }{1.2\times10^4}\right)^3\\ =(3.6\times 10^{-8})^3 =4.67\times 10^{-23}.$$
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