Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set: 85

Answer

$\dfrac{1}{x^6}$

Work Step by Step

RECALL: (i) $\dfrac{a^m}{a^n} = a^{m-n}, a \ne 0$ (ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$ (iii) $\dfrac{1}{a^{-m}}=a^m, a\ne0$ Use the rule (i) above to obtain: $=x^{3-9} \\=x^{-6}$ Use rule (ii) above to obtain: $=\dfrac{1}{x^6}$
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