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: 51

Answer

$x^{\frac{3}{4}}$

Work Step by Step

Recall the following rule: $a^{n}+a^{m}=a^{n+m}$ Thus, we obtain: $x^{\frac{1}{2}}\times x^{\frac{1}{4}}$ =$x^{\frac{1}{2}+\frac{1}{4}}$ =$x^{\frac{2+1}{4}}$ =$x^{\frac{3}{4}}$
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