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: 55



Work Step by Step

Recall the following rule: $a^{n}+a^{m}=a^{n+m}$ Thus, we obtain: $3x^{\frac{1}{4}}\times 5x^{\frac{1}{3}}$ =$15x^{\frac{1}{4}+\frac{1}{3}}$ =$15x^{\frac{1(3)+1(4)}{12}}$ =$15x^{\frac{4+3}{12}}$ =$15x^{\frac{7}{12}}$
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