케

Sloppy spelling of 렇게 (그렇게, 어떻게)

케 here is how people write the squashed pronunciation of 렇게: 그르케 for 그렇게 'like that', 이르케 for 이렇게 'like this', 어뜨케 or 어케 for 어떻게 'how'. It carries a whiny, cute or very informal tone, the way spelling 'wanna' does in English. It is a spelling habit for chat and captions, not a separate word with its own meaning.

Register: very casual, chat spelling