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 - Page 224: 108

Answer

$.0052$

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: $=4(10^{-4}) \cdot (1.3)(10^1)$ Multiply $4$ and $1.3$ together, and the powers of 10 together to obtain: $=5.2(10^{-4+1}) \\=5.2(10^{-3})\\\\=.0052$
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