Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 44

Answer

$4.2875 \times 10^{-11}$

Work Step by Step

RECALL: (i) $(ab)^m=a^mb^m$ (ii) $(a^m)^n=a^{mn}$ (iii) $a^{-m} = \dfrac{1}{a^m} a\ne0$ Use the rules above to obtain: $=3.5^{3} \times (10^{-4})^{3} \\=42.875 \times 10^{-4\cdot 3} \\=(4.2875 \cdot 10) \times 10^{-12} \\=4.2875 \times 10^{1+(-12)} \\=4.2875 \times 10^{-11}$
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