Hey!

The dimentional formula/abbreviation for resistance is : [M1 L2 T(-3) I(-2)]. in this formula, M is mass, L is length, T is time and I is current.

It is derived as:

As we know, Resistance = Voltage/ current

And, voltage (V) = Electric Field × Distance = [Force / charge] × Distance   (eqn 1)

where, dimensions of force are : [ M1 L1 T(-2)]

Dimensions of charge are: [I1 T1]^(-1)

Dimensions of Length are: [L1]

And then putting all these dimentions in eqn1 , we get

Dimensions of Voltage(V); [M1 L2T(-3) I(-1)]

Now, Resistance = voltage / current (as said earlier)

Putting the dimensions of volatage and current in it, we get

Resistance = [M1 L2 T(-3) I(-2)]

Thankyou!