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: 50

Answer

$\frac{7}{15}$

Work Step by Step

Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{7x^{30}y^{30}}{15x^{30}y^{30}}$=$\frac{7}{15}$x$^{(30-30)}$y$^{(30-30)}$=$\frac{7}{15}$x$^0$y$^0$=$\frac{7}{15}$ Check the answer. 15x$^{30}$y$^{30}$($\frac{7}{15}$)=$\frac{15(7)}{15}$x$^{30}$y$^{30}$=7x$^{30}$y$^{30}$
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