1. The problem statement, all variables and given/known data Calculate [P^m, X^n] 2. Relevant equations [P,X] = PX - XP 3. The attempt at a solution P( P^(m-1) * X^(n-1))X - (X^n)(P^n) =(XP +[P, X])(P^(m-1)*X^(n-1)) - (X^n)(P^n) =(P^m)(X^n) + [P, X](P^(m-1))(X^(n-1))- (X^n)(P^n)... I don't think the direction i am taking will be helpful. Is there some other way to do this particular commutator? I know how to do [P, X^n], but my methods fail when P is raised to some power.