What did the athenian empire spread to the middle east and egypt

The Athenians spread Greek ideas and culture to other places where they had contact.  

The process of the spread of Greek ideas and culture was known as "Hellenization."  "Hellen" was the ancient Greek term for "Greek."  Perhaps the greatest period of Hellenization occurred when Alexander the Great, from Macedonia (at the northern end of the Greek peninsula) built an empire stretching from Macedonia and Greece all the way to India.

This answer would be c