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: 64


$$2.0 \times 10^{11}. $$

Work Step by Step

We simplify the numerator and denominator by adding the exponents and multiplying the like terms and then by subtracting the exponents and dividing the like terms, as follows: $$ \frac{(5\times 10^{4})(3\times 10^{-5})(4\times 10^{6})}{(1.5\times 10^{6})(2\times 10^{-11})}=\frac{(5)(3)(4)\times 10^{4-5+6}}{(1.5)(2)\times 10^{6-11}}\\ =\frac{60\times 10^{5}}{3\times 10^{-5}} =20 \times 10^{10}=2.0 \times 10^{11}. $$
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