* Fans work by moving air. They have blades that spin, pushing air and creating a breeze.
* The moon has no atmosphere. Unlike Earth, there's essentially no air on the moon's surface.
So, if you turned on a fan on the moon, nothing would happen. The fan blades would spin, but there would be no air for them to push, and therefore no wind current.
It's like trying to use a fan in a vacuum!