Answer
$125$
Work Step by Step
Since $25=5^2$, the given expression is eqiuvalent to:
$25^{\frac{3}{2}}=(5^2)^{\frac{3}{2}}$
Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain:
$=5^{2\cdot\frac{3}{2}}$
$=5^3$
$=125$
Hence, the correct answer is $125$.
