Consider the reversible reaction:
A + 2B == 3C + 4D
( == indicates reversible reaction)
Acc. to the LAW OF MASS ACTION, the rate of forward reaction is proportional to the product of the molar conccentrations of the reactants
therefore,
R
f 
[A] [B] [B]
i.e. R
f 
[A] [B]
2
Similarly, the rate of backward reaction is proportional to the products of the molar concentrations of the products
therefore,
R
b 
[C] [C] [C] [D] [D] [D] [D]
R
b 
[C]
3 [D]
4
Thus,we see that the rate of reaction is proportional to the product of the molar conc. raised to the power of their stoichiometric coefficients.
plz, rate if it helps.......