A Nimitz class carrier is honeycombed with thousands of water-tight compartments and blast doors on the hangar deck. Only a massive break up of the ship could truly compromise a Nimitz-class carrier. Lets look at th USS Forrestal, which was an older, less modern ship. This carrier was smashed with multiple explosions on the hangar and flight deck from 1000lb+ bombs. She didn't sink.
Exocets with their 165kg warhead would definately damage, but not sink a carrier. They have been thrown at much smaller targets (USS Stark - 1987) and have not sunk the targets.
The burden of proof is now on your side. Do you have any compelling proof that a Nimitz class carrier can be sunk in this fashon?
For further and much needed learning on this matter, I implore you to look at this blog. You may find what some of the members say food for thought. (I do realize that they are not professionals on the matter, but to supply some compelling evidence for both sides.)
http://www.sinodefenceforum.com/showthread.php?t=2438
I will try to keep this my last reply so I dont get accused of trolling.
Tag, your it.