The dimensional formula of permeability of free space $\mu_0$ is
${A^{ - 2}}{M^1}{L^1}{T^{ - 2}}$
$ML{T^{ - 2}}$
$M{L^0}{T^{ - 1}}$
${A^{ - 1}}ML{T^2}$
The dimensional formula of permeability of free space $\mu_0$ is
$F = \frac{{{\mu _0}}}{{4\pi }}\,\frac{{2{I_1}{I_2}l}}{r}$ $ \Rightarrow {\mu _0} = [F]\,{[A]^{ - 2}}$ $ = [ML{T^{ - 2}}{A^{ - 2}}]$