For the given function, do the following.

$g(x)={25}^x$; find $g(\frac{3}{2})$

$($a$)$ Evaluate the given expression.

$g(\frac{3}{2})=$

$$

$($b$)$ Find the domain. $($Enter your answer using interval notation.$)$

$$

$($c$)$ Find the range. $($Enter your answer using interval notation.$)$

$$