## Intermediate Algebra (12th Edition)

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