Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set: 19

Answer

$\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}=\dfrac{12}{y^{6}}$

Work Step by Step

$\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}$ Divide the two rational expressions: $\dfrac{8x^{2}}{y^{3}}\div\dfrac{4x^{2}y^{3}}{6}=\dfrac{(8x^{2})(6)}{(4x^{2}y^{3})(y^{3})}=\dfrac{48x^{2}}{4x^{2}y^{6}}=...$ Simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{48}{4y^{6}}=\dfrac{12}{y^{6}}$
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