Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set: 84

Answer

$0.00000002$

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) $a^m \cdot a^n = a^{m+n}$ (iii) $\frac{a^{m}}{a^{n}}=a^{m-n}$ Write each number in scientific notation to obtain: $=\dfrac{7.8(10^{-4})}{3.9(10^{4})}$ Divide $7.8$ and $3.9$ together, and then divide the powers of 10 together to obtain: $=\dfrac{7.8}{3.9} \cdot \dfrac{10^{-4}}{10^{4}} \\=2 \cdot 10^{-4-4} \\=2 \cdot 10^{-8} \\=0.00000002$
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