According to the sources, inductance ($L$) is a scalar quantity defined by the ratio of magnetic flux linkage to current ($L = N\Phi_B / I$) . The dimensions of magnetic flux ($\Phi_B$) are $[ML^2T^{-2}A^{-1}]$ . Dividing this by the dimension of current ($[A]$) gives the dimensions of inductance as $[ML^2T^{-2}A^{-2}]$ . Alternatively, this can be derived from the expression for magnetic energy stored in an inductor, $W = \frac{1}{2}LI^2$. Since energy ($W$) has dimensions $[ML^2T^{-2}]$ and current ($I$) has dimension $[A]$, the dimensions for $L$ are $[ML^2T^{-2}]/[A]^2 = [ML^2T^{-2}A^{-2}]$ .