Need help with this stat question! Thanks!

1. (30 points) Let Yl, ..., Yn be i.i.d. samples from the density function kyk-1 fo(y) = Ak 10 2 is a positive integer. (a) Show that Y(m) = max{Y1, ..., Y,} is a sufficient statistic of 0. (b) Using Rao-Blackwell theorem to find the MVUE of 0