(A) Power is defined as the rate of doing work,which is given by the formula: $P = \frac{W}{t}$.Work done $(W)$ has the dimensional formula $[M^1 L^2

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(A) Power is defined as the rate of doing work,which is given by the formula: $P = \frac{W}{t}$.Work done $(W)$ has the dimensional formula $[M^1 L^2 T^{-2}]$.Time $(t)$ has the dimensional formula $[T^1]$.Therefore,the dimensions of power are: $[P] = \frac{[M^1 L^2 T^{-2}]}{[T^1]} = [M^1 L^2 T^{-3}]$.Thus,the correct option is $A$.