Without computing their actual values, which is greater, e^(pi) or (pi)^e?explain

• hai friends, a good explanation is as follows:
  
  Let pi = e^k for some k; k is a little bigger than 1
  
  Therefore you are comparing
  
  e^(e^k) and (e^k)^e
  or...
  e^(e^k) and e^(ke)
  
  
  you know that e^0 > 0e, and that e^1 = 1e, and that e^2 > 2e, and could probably correctly intuit that e^k > ke whenever k != 1. Therefore you can correctly figure that e^pi > pi^e.
• 11 years agoHelpfull: Yes(1) No(0)
• ans e^(pi) is greater than (pi)^e. because e is nearly equal to 2.718 and pi=3.14 .
• 11 years agoHelpfull: Yes(0) No(1)