Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises: 52

Answer

$8 \times 10^{5}$

Work Step by Step

$a^m \cdot a^n = a^{m+n}$ Multiply the corresponding parts and use the rule above when necessary to obtain: $=(8\cdot 0.1) \times (10^{-3} \cdot 10^{9}) \\=0.8 \times 10^{-3+9} \\=0.8 \times 10^{6} \\=(8)(10^{-1}) \times 10^{6} \\=8 \times 10^{-1+6} \\=8 \times 10^{5}$
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