Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 46: 100



Work Step by Step

$\displaystyle \frac{(2y^{1/5})^{4}}{y^{3/10}}=\qquad$... apply $(ab)^{n}=a^{n}b^{n}$ $=\displaystyle \frac{2^{4}(y^{1/5})^{4}}{y^{3/10}}\qquad$... apply $(a^{m})^{n}=a^{mn}$ $=\displaystyle \frac{16y^{4/5}}{y^{3/10}}\qquad$... apply $\displaystyle \frac{a^{m}}{a^{n}}=a^{m-n}$ ...$ \displaystyle \frac{4}{5}-\frac{3}{10}=\frac{8-3}{10}=\frac{5}{10}=\frac{1}{2}$ $=16y^{\frac{1}{2}}$
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