Do quotations go inside or outside of the period?

A parenthetical sentence that goes between two sentences of text uses both an initial capital letter and an end mark (period, question mark, or exclamation point) inside the parentheses.

Incorrect: We went to California. (it is a big state)! There we saw many celebrities.

Correct:We went to California. (It is a big state!) There we saw many celebrities

In a sentence containing a parenthetical expression, any punctuation belonging to the main sentence goes outside the parentheses.

Incorrect: The hunter was cold-blooded (he stabbed the deer dozen times!)

Correct: The hunter was cold-blooded (he stabbed the deer dozen times)!

Correct: He took Brianna, Jessica (Tom's sister), and Julius to Sean's party.