Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises: 122

Answer

$5 \times 10^1$

Work Step by Step

Write each number in scientific notation to obtain: $=\dfrac{3 \times 10^{-6}}{6 \times 10^{-8}}$ Divide 3 and 6 together and the powers of 10 together to obtain: $=\dfrac{3}{6} \times \dfrac{10^{-6}}{10^{-8}} \\=0.5 \times 10^{-6-(-8)} \\=0.5 \times 10^{-6+8} \\=0.5 \times 10^2 \\=(5 \times 10^{-1}) \times 10^2 \\=5 \times 10^{-1+2} \\=5 \times 10^1$
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