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Derive the Dimensional Formula of Universal Constant of Gravitation?

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Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm1m2)/r2
So
G=(Fr2)/m1m2

Where F is Force between masses m1, m2 at a distance r

Dimensional Formula of Force= M1L1T-2

Thus
Dimensional Formula of Universal Constant of Gravitation= (M1L1T-2 x L2)/(M1 x M1)

Dimensional Formula of Universal Constant of Gravitation = M-1L3T-2
SI unit of Universal Constant of Gravitation is Nm2kg-2

or

Dimensional Formula of Gravitational constant = M-1L3T-2

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    I didn’t understand that how M-1 came in the answer

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    Abbas Ali
    I didn’t understand that how M-1 came in the answer

  • MOHAMMED K HISHAM August 29, 2017 at 8:57 am

    look M1 L1 T-2 x L2 IS THE NUMERATOR
    M 1 M 1 IS THE DENOMINATOR
    SO M1 and M1 GETS CANCEL and ANOTHER M1 GOES UP and BECOME M-1

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    wat happen to dy m1*m1 at d denominator

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