In a new system of units, energy density and power are taken as fundamental units, then the dimensional formula of universal gravitational constant G will be?

To represent gravitational constant G in dimensions of a new system of units where energy, power and density are fundamental units, we first decide the representation of new fundamental units, [ ] represents dimension.

[Energy] = E

[Power] = P

[Density] = D

In standard system of mass, length, time and ampere:

…..1 ()

…..2 ( )

…..3 ( )

Now,

..(Putting 1, 2, 3 in 4)

Now, we also know that

…..5

(Since,, or

)

Comparing 4 and 5, we get

…..6

…..7

…..8

Solving equations 6, 7 and 8, we get:

So,