1. The problem statement, all variables and given/known data The topic pretty much says it. x is such that it is greater than or equal to zero but less then or equal to one. m,n are natural numbers such that m is greater than or equal to n. I need to prove that x^m<=x^n. I know this is most likely a pretty simple proof, but I am currently flustered and my mind is not working properly at the moment so nothing is working out for me in regards to the proof. 2. Relevant equations 3. The attempt at a solution I have nothing of substance to put forth at the moment. So help would be much appreciated.