The house has a view to the west over the sea from up on the cliff, but this means it is very exposed to the wind from the sea. It has a western exposure. (open/unprotected to the west)
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The author/artist has unknown before he appeared in our magazine. The exposure he received has made his career skyrocket. (being seen, becoming known)
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The politician had been well respected until exposure of his shady dealings with crime syndicates. (particularly used with hidden things) Also: The expose (loan word from French, can't put the accent on the "e") had damaged his career permanantly.
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With her bathing suit unravelling, she risked more exposure than she had planned.
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They had gone for a simple day walk in the hills, but the suddent bad weather meant they had been found hours later suffering from exposure. (pseudo-medical term for dangerously cold)