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: 52

Answer

-$\frac{1}{5}$x$^{10}$y$^7$z$^2$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{-8x^{12}y^{10}z^4}{40x^2y^3z^2}$=-$\frac{8}{40}$x$^{(12-2)}$y$^{(10-3)}$z$^{(4-2)}$=-$\frac{1}{5}$x$^{10}$y$^7$z$^2$ Check the answer 40x$^2$y$^3$z$^2$(-$\frac{1}{5}$x$^{10}$y$^7$z$^2$)=-$\frac{40}{5}$x$^{(2+10)}$y$^{(3+7)}$z$^{(2+2)}$=-8x$^{12}$y$^{10}$z$^4$
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