# In the expression P = E l ^2 m^–5 G^–2, E, m, l and G denote energy, mass, angular momentum and gravitational constant,

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In the expression P = E l 2 m–5 G–2, E, m, l and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.

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Since E, l and G have dimensional formulas:

ML2T-2

ML2T-1

L3M-1T-2

Hence, P = E l2 m–5 G–2 will have dimensions: