College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 57: 75



Work Step by Step

Using the Distributive Property, the given expression, $ y^{5/8}(y^{3/8}-10y^{11/8}) ,$ simplifies to \begin{array}{l}\require{cancel} y^{5/8}(y^{3/8})+y^{5/8}(-10y^{11/8}) \\\\= y^{\frac{5}{8}+\frac{3}{8}}-10y^{\frac{5}{8}+\frac{11}{8}} \\\\= y^{\frac{8}{8}}-10y^{\frac{16}{8}} \\\\= y^{1}-10y^{2} \\\\= y^{}-10y^{2} \\\\= -10y^{2}+y^{} .\end{array}
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