This is a question Roger Isaacs asks in a short piece over on the Huffington Post. He says in the article:
This question has puzzled biblical scholars, archeologists and all those interested in solving one of the Old Testament's most intriguing mysteries. Was the story of the Israelites fleeing Egypt after years of slavery history or myth? Were there really 10 plagues that became so progressively terrible that they forced the Pharaoh to finally release all the Israelite slaves? Was there really a leader named Moses, and did he guide this "mixed multitude" for 40 years in the wilderness of the Sinai desert? Passover is the Jewish festival that celebrates the flight of the Israelites out of Egypt. During this Passover season it is particularly pertinent to wonder, did the Exodus really happen?
Of course, if none of this convinces you I am sure that the below video will demonstrate the historical veracity of the Exodus story.