Not at all, never ever: không hề / chưa hề
not in the least
Pattern: [person] + không / chưa + hề + [verb]
Typed without accents: khong he, chua he
Hề between không and the verb makes "not" absolute, "not in the least", "not at all": Tôi không hề biết chuyện đó. I had no idea about that at all. With chưa (not yet), it's "never once, up to now": Em chưa hề đi máy bay. I've never once been on a plane.
It sounds firm and serious. You'll meet it often in the news, in statements and in stories: Công ty không hề thông báo. The company gave no notice whatsoever. It also goes before adjectives, often in reviews: Giá không hề rẻ. It isn't cheap at all.
There are other ways to say "not at all". Không … đâu, which you know, reassures or turns something down: Không sao đâu. Không … chút nào puts "at all" at the end and is the everyday spoken one: Không vui chút nào. Không hề comes before the verb and is the strongest and most serious of them. For a plain "never", chưa bao giờ and không bao giờ are the everyday words.
Examples
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Tôi không hề biết chuyện đó.
I had no idea about that at all.
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Em chưa hề đi máy bay.
I've never once been on a plane.
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Giá ở đây không hề rẻ.
Prices here aren't cheap at all.
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Anh ấy không hề nói với ai.
He didn't tell anyone at all.