POWER = workdonetime\frac{\text{workdone}}{\text{time}}timeworkdone
Dimension of work done ( F x S = M x A x S ) = MLT−2^{-2}−2 L = ML2^{2}2T−2^{-2}−2
Dimension of time = T
Therefore, the dimension of power = ML2T−2T\frac{ML^{2}T^{-2}}{T}TML2T−2 = ML2^{2}2T−3^{-3}−3
