Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises: 177

Answer

$200,000$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{0.05\times1600}{0.0004} ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{(5\times10^{-2})(1.6 \times10^3)}{4\times10^{-4}} \\\\= \dfrac{5(1.6)}{4}\times10^{-2+3-(-4)} \\\\= 2\times10^{-2+3+4} \\\\= 2\times10^{5} .\end{array} Since the exponent of $10$ is $\text{positive } 5 ,$ move the decimal point $ 5 $ places to the $\text{right.}$ Hence, the standard form of the expression above is \begin{array}{l}\require{cancel} 200,000 .\end{array}
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