밖에(bakk-e, bakke)
밖에: only, expresses limitation
When to use
negative sentences only, limited quantity or scope, not used in positive sentences
The nuance
밖에 is used with negative sentences to emphasize 'only' or 'nothing but' a certain thing. It is unnatural with positive sentences.
외에(oe-e, oee)
외에: besides, except, indicates exclusion or addition
When to use
used in positive and negative sentences, to exclude or add, expanding scope
The nuance
외에 can be used in both positive and negative sentences to indicate exclusion or addition, similar to 'besides' or 'except'.