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: 113

Answer

$0.0000002$

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: $=\dfrac{8.6(10^{-4})}{4.3(10^{3})}$ Divide $8.6$ and $4.3$ together and the powers of 10 together to obtain: $=\dfrac{8.6}{4.3} \cdot \dfrac{10^{-4}}{10^{3}} \\=2 \cdot 10^{-4-3} \\=2(10^{-7}) \\=0.0000002$
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