Answer:
expository
Step-by-step explanation:
A biography is a written history of someone's life, so it's expository(explains something).
Dramatic writing is like a story meant for tv or a play.
Fiction is fake, made up stories. Biographies are real stories, so it's not fiction. Non-fiction is real.
Persuasive writing is something meant to convince the reader to act or think differently on a subject.
hope this helped :)