Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6 - Page 224: 116



Work Step by Step

RECALL: (i) Scientific notation has the form $a(10^n)$, where $1 \le a \lt 10$ and where $n$ is an integer. (ii) $\frac{a^{m}}{a^{n}}=a^{m-n}$ Write each number in scientific notation to obtain: $=\dfrac{8.2(10^{-6})}{4.1(10^{-4})}$ Divide $8.2$ and $4.1$ together and the powers of 10 together to obtain: $=\dfrac{8.2}{4.1} \cdot \dfrac{10^{-6}}{10^{-4}} \\=2 \cdot 10^{-6-(-4)} \\=2(10^{-6+4}) \\=2(10^{-2}) \\=0.02$
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