Let {X n , n ≥ 1} be a sequence of independent random variables with common general error distribution GED(v) with shape parameter v > 0, and let M n,r denote the rth largest order statistics of X 1 , X 2 , • • • , X n . With different normalizing constants the distributional expansions of normalized powered order statistics |M n,r | p are established, from which the convergence rates of powered order statistics to their limits are derived. This paper generalized Hall's results on powered-extremes of normal sequence.