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 - Page 80: 87

Answer

$-\frac{4}{x}$

Work Step by Step

$\frac{20x^3}{-5x^4}$ Apply the fraction rule: $\frac{a}{-b} = -\frac{a}{b}$ Hence, $\frac{20x^3}{-5x^4}$ = $-\frac{20x^3}{5x^4}$ $=-\frac{4x^3}{x^4}$ Recall that $\frac{a^m}{a^n} = \frac{1}{a^{n-m}}$ Thus, $-\frac{4x^3}{x^4}= -\frac{4}{x^{4-3}}$ $=-\frac{4}{x}$
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