Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.5 - Dividing Polynomials - Exercise Set: 47

Answer

$-\frac{1}{2}x^{12}$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{-18x^{14}y^2}{36x^2y^2}=-\frac{18}{36}x^{(14-2)}y^{(2-2)}=-\frac{1}{2}x^{12}y^0=-\frac{1}{2}x^{12}$ Check the answer: $36x^2y^2(-\frac{1}{2}x^{12})=-\frac{36}{2}x^{(2+12)}y^2=-18x^{14}y^2$
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