To solve this expression, we first perform the multiplication in the numerator:

[ 2.8 \times 10^{-8} * 140 = 3.92 \times 10^{-6} ]

Now we can divide this result by 600:

[ \frac{3.92 \times 10^{-6}}{600} = 6.53 \times 10^{-9} ]

Therefore, the result of the expression ( \frac{2.8 \times 10^{-8} * 140}{600} ) is ( 6.53 \times 10^{-9} ).