Answer
4
Work Step by Step
We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the expression:
$\frac{2^{\frac{9}{4}}}{2^{\frac{1}{4}}}=2^{\frac{9}{4}-\frac{1}{4}}=2^{\frac{9-1}{4}}=2^{\frac{8}{4}}=2^{2}=4$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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: 47
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