The Chevrolet Corvette uses retro-styled taillights for C5 models (1997 to 2004) and C6 models (2005 to 2009). Rather than having a single taillight assembly, the Corvette has two separate lamps on each side. If you need to replace your brake light, replace the inner taillight; if you want to replace your turn signal, replace the outer taillight.
Kneel down behind your taillight to find the mounting screw(s). Remove the screw(s) with a Phillips screwdriver. C5 models have two screws; one on each side. C6 models have one screw, located at the top portion of the taillight.
Turn the taillight carefully and pull it out to access the bulb. Squeeze the side tabs and turn the socket counterclockwise to remove it.
Detach the old bulb from the socket and insert the new bulb. Insert the socket back into the taillight; squeeze the side tabs and turn it clockwise.
Line up the taillight tabs (bottom and top on C5, sides on C6) and reinsert the taillight. Tighten the screw(s) to finish.