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: 103

Answer

$\dfrac{-5y^8}{x^6}$

Work Step by Step

RECALL: (i) $\dfrac{a^m}{a^n} = a^{m-n}. a \ne0$ (ii) $a^{-m} = \dfrac{1}{a^m}, a \ne0$ Divide the coefficients by each other and the variables by each other to obtain: $=\dfrac{30}{-6} \cdot x^{2-8}y^{5-(-3)} \\=-5 \cdot x^{-6}y^{5+3} \\=-5x^{-6}y^{8}$ Use rule (ii) above to obtain: $=-5 \cdot \dfrac{1}{x^6} \cdot y^8 \\=\dfrac{-5y^8}{x^6}$
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