Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3 - Page 489: 53



Work Step by Step

Recall the following rule: $a^{n}+a^{m}=a^{n+m}$ Thus, we obtain: $a^{\frac{2}{3}}\times a^{\frac{3}{4}}$ =$a^{\frac{2}{3}+\frac{3}{4}}$ =$a^{\frac{2(4)+3(3)}{12}}$ =$a^{\frac{8+9}{12}}$ =$a^{\frac{17}{12}}$
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