In terms of basic units of mass (M), length (L), time (T) and charge (Q), the dimensions of magnetic permeability of vacuum ((μ0)) would be

The force per unit length experienced due to two wires in which current is flowing in the same direction is given by                                            dFdl=μ04π2I1I2d⇒MLT−2[L]=μ0A2[L]⇒                   MLT−2[L]=μ0Q2T2L⇒μ0=MLQ−2