College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises - Page 30: 88


(a) $\frac{\sqrt{3st}}{3t}$ (b) $\frac{ab^{2/3}}{b}$ (c) $\frac{c^{2/5}}{c}$

Work Step by Step

(a) $(\displaystyle \mathrm{a})\sqrt{\frac{s}{3t}}=\frac{\sqrt{s}}{\sqrt{3t}} \displaystyle \frac{\sqrt{3t}}{\sqrt{3t}}=\frac{\sqrt{3st}}{3t}$ (b) $\displaystyle \frac{a}{\sqrt[6]{b^{2}}}=\frac{a}{b^{1/3}} \displaystyle =\frac{a}{b^{1/3}} \displaystyle \frac{b^{2/3}}{b^{2/3}}=\frac{ab^{2/3}}{b}$ (c) $\displaystyle \frac{1}{c^{3/5}}=\frac{1}{c^{3/5}} \displaystyle \frac{c^{2/5}}{c^{2/5}}=\frac{c^{2/5}}{c}$
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