Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.7 - Scientific Notation - Exercise Set - Page 89: 46

Answer

$5 \times 10^{3}$

Work Step by Step

Divide the corresponding parts. Then, put the expression in the form $a*10^n$, where a is a number that is greater than or equal to 1 but less than 10. $=\dfrac{1.5}{3} \times \dfrac{10^{-2}}{10^{-6}} \\=0.5 \times 10^{-2-(-6)} \\=0.5 \times 10^{-2+6} \\=0.5 \times 10^{4} \\=5 \times 10^{4-1} \\=5 \times 10^{3}$
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