If $\det \mathbf{A} = 5,$ then find $\det (\mathbf{A^3}).$
We have that $\det (\mathbf{A}^3) = (\det \mathbf{A})^3 = \boxed{125}.$
We have that $\det (\mathbf{A}^3) = (\det \mathbf{A})^3 = \boxed{125}.$
The final answer is $125$. I hope it is correct.