If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is

Let F ∝ PxVyTzby substituting the following dimensions:P = ML−1T-2,   V = LT−1, T = TMLT-2= [ML−1T-2]x   [LT−1]y[T]zand comparing the dimension of both sidesx = 1, y = 2, z = 2, so F = PV2T2