R Hansen says: >Joe, I just realized that compound interest is an intuitive proof that e^pi is greater than pi^e. :)
Only for you, I take it.
But, I see your notion of exponentiation is actually "repeated multiplication". Bad boy! What about continuous compounding?
That leads me to the thought of why the world of banking is still using all these finite decimal approximations (and who gets the rounding errors?). Shouldn't money be stored as analytic formulas instead?