Answer
$125$
Work Step by Step
We want to break down this problem a little to be able to work with it. The number $25$ can be broken down into a small base raised to a power: $5^2$. Let' u rewrite this number:
$(5^2)^{3/2}$
Raising a power to a power means we can multiply the two powers or exponents together:
$5^{(2)(3/2)}$
Multiply to simplify:
$5^{(6/2)}$
Reduce the fraction in the exponent by dividing both numerator and denominator by $2$, the greatest common factor:
$5^{3}$
Raise $5$ to the power of $3$:
$125$