In the expression `P=Et^2m^-5G^-2` the quantities E,I,m and G denote energy , angular momentum, mass and gravitational constant respectively. Show that P is a dimensionless quantity.

Explanation

Here , `P=El^2m^-5G^-2`
Here,
I=energy , l=angular momentum
m=mass G = gravitational constant
`=[ML^2T^-2][ML^2T^-1]^2[M]^-5[M^-1L^3T^-2]^-2`
`=M^(1+2+5+2)L^(2+4+6)T^(-2-2+4)`
`P=[M^0L^0T^0]`
Hence, P is a dimensionless quantity.