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 - Page 430: 60

Answer

$4c^4$

Work Step by Step

(i) $a^m \cdot a^n = a^{m+n}$ (ii) $a^{-m} = \dfrac{1}{a^m}, a \ne 0$ Use the rules above to obtain: $=\dfrac{4}{c^{1+(-5)}} \\=\dfrac{4}{c^{-4}} \\=\dfrac{4}{\frac{1}{c^4}} \\=4 \cdot \dfrac{c^4}{1} \\=4c^4$
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