• care a rat's arse
• give a rat's ass (North American spelling)
• care a rat's ass (North American spelling)

• Audio (General Australian):

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give a rat's arse (third-person singular simple present gives a rat's arse, present participle giving a rat's arse, simple past gave a rat's arse, past participle given a rat's arse)

1. (idiomatic, vulgar, British spelling, chiefly in the negative) To care a minimum amount; to have or show minimal interest

   Synonyms: see Thesaurus:care

   I just don't give a rat's arse!

   She couldn't give a rat's arse whether he shows up or not.

   I don't give a rat's arse about politics.

• Usually used in negative constructions, such as He doesn't give a rat's arse.