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, $5^{\frac{1}{4}}\times5^{\frac{7}{4}}=5^{\frac{1}{4}+\frac{7}{4}}=5^{\frac{8}{4}}=5^{2}=25$.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter 7 - Review Exercises - Page 497: 35
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