On applying Law of mass action over slowest step,
R=k[NOBr2][NO]
The slowest step is the rate determining step.
On applying Law of mass action on equilibrium of Step I
k=[NO][Br2][NOBr2]
[NOBr2]=k[NO][Br2]
Hence, overall rate equation will be
R=k[NO]2[Br2]
=k′[NO]2[Br2]
The overall order is equal to sum of the powers of the concentration terms in the rate law.
The overall order of the reaction is 3.