Elementary Technical Mathematics

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

Chapter 2 - Section 2.7 - Engineering Notation - Exercises - Page 130: 39

Answer

$$1.31\times 10^{12} . $$

Work Step by Step

We use the exponent rules to simplify the fraction as follows: $$\frac{\sqrt{6.05\times 10^{9}}}{(244\times 10^{-6})^{2}}=\frac{\sqrt{60.5\times 10^{8}}}{(244\times 10^{-6})^{2}}\\=\frac{ 7.778\times 10^{4}}{59536\times 10^{-12}} =0.00013064\times 10^{16}\\=1.306\times 10^{16-4}=1.31\times 10^{12} . $$
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