If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimension of P in the formula $\mathrm{P}={\mathrm{EL}}^2{\mathrm{M}}^{-5}{\mathrm{G}}^{-2}$ is

Dimension of energy, $\mathrm{E}=\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]$

Angular momentum, $\mathrm{L}=\left[{\mathrm{ML}}^2{\mathrm{T}}^{-1}\right]$

Mass, M = [M]

and gravitational constant, $\mathrm{G}=\left[{\mathrm{M}}^{-1}{\mathrm{L}}^3{\mathrm{T}}^{-2}\right]$

The dimension of P in formula,

$\mathrm{P}={\mathrm{EL}}^2{\mathrm{M}}^{-5}{\mathrm{G}}^{-2}$ is given as follows

            $\begin{array}{l}\left[\mathrm{P}\right]=\frac{\left[\mathrm{E}\right]\left[{\mathrm{L}}^2\right]}{\left[{\mathrm{M}}^5\right]\left[{\mathrm{G}}^2\right]}\\ =\frac{\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]\times \left[{\mathrm{M}}^2{\mathrm{L}}^4{\mathrm{T}}^{-2}\right]}{\left[{\mathrm{M}}^5\right]\left[{\mathrm{M}}^{-2}{\mathrm{L}}^6{\mathrm{T}}^{-4}\right]}\\ =\left[{\mathrm{M}}^0{\mathrm{L}}^0{\mathrm{T}}^0\right]\end{array}$