$\mu_{0}=k e^{a} m^{b} c^{c} h^{d}$

${\left[M L T^{-2} A^{-2}\right]=[A T]^{a}[M]^{b}\left[L T^{-1}\right]^{c}\left[M L^{2} T^{-1}\right]^{d}}$

$=\left[M^{b+d} L^{c+2 d} T^{a-c-d} A^{a}\right]$

On comparingboth sides we get

$a=-2 \quad \ldots(i)$

$b+d=1 \ldots(i i)$

$c+2 d=1 \ldots(i i i)$

$a-c-d=-2 \ldots(i v)$

By equations $(i),(i i),(i i i)$ and $(i v)$ we get,

$a=-2, b=0, c=-1, d=1$

$\left[\mu_{0}\right]=\left[\frac{h}{c e^{2}}\right]$