If you exemplify something, you're the perfect example of it. Say you wear frilly shirts, knee-high boots, and black eye-make-up — you exemplify the fashion world's obsession with pirates.
Exemplifying something can also mean make it clearer by offering an illustration or an example. If you want to exemplify your argument that, say, pirate gear is fashionable, you might want to show your friends some pictures of celebrities wearing eye patches.
