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: 48

Answer

-$\frac{1}{3}$x$^{14}$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{-15x^{16}y^2}{45x^2y^2}$=-$\frac{15}{45}$x$^{(16-2)}$y$^{(2-2)}$=-$\frac{1}{3}$x$^{14}$y$^0$=-$\frac{1}{3}$x$^{14}$ Check the answer 45x$^2$y$^2$(-$\frac{1}{3}$x$^{14}$)=-$\frac{45}{3}$x$^{(2+14)}$y$^2$=-15x$^{16}$y$^2$
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