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: 111

Answer

$4,000,000$

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: $=\dfrac{6(10^{3})}{1.5(10^{-3})}$ Divide $6$ and $1.5$ together and the powers of 10 together to obtain: $=\dfrac{6}{1.5} \cdot \dfrac{10^3}{10^{-3}} \\=4 \cdot 10^{3-(-3)} \\=4 \cdot 10^{3+3} \\=4(10^6) \\=4,000,000$
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