If i used the facial peel product then do i still have to used a exfoliator?

cause i m wondering peel help exfoliated and speed up the cell turnover so if i used it then do i still have to used like a face scrub to get those dead skin off?If i used the facial peel product then do i still have to used a exfoliator?
don't scrub your face, just liquid soap with exfoliant will do.