Step 1 :Convert the thickness of the graphite piece to picometers: \(1.6 \text{ mm} = 1.6 \times 10^6 \text{ pm}\)
Step 2 :Divide the thickness of the graphite piece by the thickness of one graphene layer: \(\frac{1.6 \times 10^6 \text{ pm}}{200 \text{ pm}} = 8 \times 10^3\)
Step 3 :\(\boxed{8.00 \times 10^3}\) layers of graphene in a 1.6-mm-thick piece of graphite.