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: 76

Answer

$2a^{\frac{7}{6}}$

Work Step by Step

RECALL: (i) $a^{-m} = \dfrac{1}{a^m}$ (ii) $\sqrt[n]{a^m} = a^{\frac{m}{n}}$ (iii) $a^m \cdot a^n = a^{m+n}$ Use rule (ii) above to obtain: $=2a^{\frac{1}{2}} \cdot a^{\frac{2}{3}} \\=2\cdot a^{\frac{1}{2}}\cdot a^{\frac{2}{3}}$ Use rule (iii) above to to obtain: $=2\cdot a^{\frac{1}{2} + \frac{2}{3}} \\=2a^{\frac{3}{6} + \frac{4}{6}} \\=2a^{\frac{7}{6}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.