Moment of Inertia is defined as the product of mass and the square of the perpendicular distance to the specified axis of rotation.
Mathematically,
Moment of Inertia is defined as the product of mass and the square of radius of gyration
Moment of Inertia = Mass X (Radius of Gyration)2
Now we know
Dimensional Formula of Mass= (M1L0T0)
Dimensional Formula of Radius of Gyration= (M0L1T0)
(Radius of Gyration)2=M0 L2 T0
Putting these values in above equation we get
Dimensional Formula of Moment of Inertia= M1L2T0
SI unit of Moment of Inertia is kg m2