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 - Page 231: 83



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) $a^0=1, a\ne 0$ (iv) $\frac{a^{m}}{a^{n}}=a^{m-n}$ Write each number in scientific notation to obtain: $=\dfrac{5.6(10^{-3})}{2.8(10^{-6})}$ Divide $5.6$ and $2.8$ together, and then divide the powers of 10 together to obtain: $=\dfrac{5.6}{2.8} \cdot \dfrac{10^{-3}}{10^{-6}} \\=2 \cdot 10^{-3-(-6)} \\=2 \cdot 10^{-3+6} \\=2 \cdot 10^3 \\=2 \cdot 1000 \\=2,000$
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