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: 114

Answer

$0.00000019$

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: $=\dfrac{5.7(10^{-3})}{3(10^{4})}$ Divide $5.7$ and $3$ together and the powers of 10 together to obtain: $=\dfrac{5.7}{3} \cdot \dfrac{10^{-3}}{10^{4}} \\=1.9 \cdot 10^{-3-4} \\=1.9(10^{-7}) \\=0.00000019$
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