Random sample Y1,....,Yn with pdf:

f(y|θ) = 3y^2/θ^3, 0<y<θ and 0 elsewhere

Given Y(n) = max(Y1,...,Yn) is sufficient for θ,

a) Show that Y(n) has pdf:

f(n)(y|θ) = 3ny^(3n-1)/θ^(3n) , 0<y<θ and 0 elsewhere

b) Find MVUE for θ

I am unsure as to how to start these so any help is appreciated