If you play on a harder dificulty do you get more exp/rank up faster?

I say yes seeing as you have to hit the enemy more and using weapons levels them up so in turn leveling up faster.

You've never played a TES game before huh?

You lvl up by increasing skills, and your skills increase by using them.

Sykes does make a good point though, you will increase weapon skills faster with a higher difficulty but only because it takes more hits to kill them. There is no "XP" earned from killing enemies or completing quest's.

Yeah, you could do the same by simply fighting with daggers.

Hm this explains why I'm way higher levels than people who played as long as I have.