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: 51

Answer

$2.7 \times 10^{-8}$

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: $=(9\cdot 3) \times (10^{7} \cdot 10^{-16}) \\=27 \times 10^{7+(-16)} \\=27 \times 10^{-9} \\=(2.7)(10) \times 10^{-9} \\=2.7 \times 10^{1+(-9)} \\=2.7 \times 10^{-8}$
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