Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Exercise Set: 44

Answer

$-\frac{y^{3}}{3}$

Work Step by Step

We know that $a^{−n}=\frac{1}{a^{n}}$ and $\frac{1}{a^{-n}}=a^{n}$ (as long as a is a nonzero real number and n is an integer). Therefore, $\frac{-5x^{4}y^{5}}{15x^{4}y^{2}}=\frac{-5}{15}\times x^{4-4}\times y^{5-2}=-\frac{1}{3}\times x^{0}\times y^{3}=-\frac{1}{3}\times 1\times y^{3}=-\frac{y^{3}}{3}$.
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