In case of dimensions of electric field and electric dipole moment the power of mass is respectively.

Electric field, $E=\frac{F}{q}$
Where, F = force and q = electric charge
Dimension of E or $\left[\mathit{E}\right]=\frac{\left[ML{T}^{-2}\right]}{\left[AT\right]}=\left[ML{T}^{-3}{A}^{-1}\right]$
Power of mass = 1
Electric moment, $m=l\times A$
where, $l$ = current and A = area
Dimension of m = [M] = $\left[M^0{L}^2{T}^{0}A\right]$
Hence, power of mass =0