#### Answer

25

#### Work Step by Step

We are given that $a^{r}\times a^{s}=a^{r+s}$, if $r$ and $s$ are rational numbers.
Therefore, $5^{\frac{1}{4}}\times5^{\frac{7}{4}}=5^{\frac{1}{4}+\frac{7}{4}}=5^{\frac{8}{4}}=5^{2}=25$.

Published by
Pearson

ISBN 10:
0321969359

ISBN 13:
978-0-32196-935-4

25

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