Translation:The professor has read the book both in Swedish and French.
Apparently, både is a conjugation and båda is a pronoun.
I've got a question regarding the theory part. In the Rules it says: The form we use for the main verb is supine and when we combine this with the auxiliary verb har, we get present perfect, the equivalent of the English past participle. This is one of those places where Swedish differs more than usual from English...
So I wonder what is the difference? Supin = Past Participle (just a different term), Present Perfect forms are really similar in the both languages.