rate = k[NO2]ak[F2]b
for experiment 1 & 2, [NO2] is constant, so
rate2/rate1 = 0.002a/0.001a = 2a
rate2/rate1 = (4 x 10-4) / 2 x 10-4 = 2
=> 2 = 2a => a = 1
you do the same for comparing experiments 2 & 3, where [F2] is constant, then you can find the value of b.