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: 110

Answer

$0.48$

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) $a^m \cdot a^n = a^{m+n}$ Write each factor in scientific notation to obtain: $=8(10^{5}) \cdot (6)(10^{-7})$ Multiply $8$ and $6$ together, and the powers of 10 together to obtain: $=48(10^{5+(-7)}) \\=48(10^{-2}) \\=(4.8 \cdot 10^{1})(10^{-2}) \\=4.8(10^{1+(-2)}) \\=4.8(10^{-1}) \\=0.48$
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