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: 51

Answer

-$\frac{1}{10}$x$^8$y$^9$z$^4$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{-5x^{10}y^{12}z^6}{50x^2y^3z^2}$=-$\frac{5}{50}$x$^{(10-2)}$y$^{(12-3)}$z$^{(6-2)}$=-$\frac{1}{10}$x$^8$y$^9$z$^4$ Check the answer 50x$^2$y$^3$z$^2$(-$\frac{1}{10}$x$^8$y$^9$z$^4$)=-$\frac{50}{10}$x$^{(2+8)}$y$^{(3+9)}$z$^{(2+4)}$=-5x$^{10}$y$^{12}$z$^6$
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