prove or disprove

(n_1)^r_1+(n_2)^r_2+...+(n_m)^r_m is irretional, where n_1...n_m are positive integers and r_1...r_n are positive, non-integers.

所有跟帖： 

• One more condition: Some of the terms -yma16- ♂ (16 bytes) () 09/26/2009 postreply 12:34:28

• disprove -火球魔法- ♂ (21 bytes) () 09/26/2009 postreply 14:16:52

• sorry, there was another condition. pls read it.-eom -yma16- ♂ (0 bytes) () 09/26/2009 postreply 15:53:17

• 2^log2(0.5)+2^log2(0.5)=1 -說了就走- ♂ (0 bytes) () 10/03/2009 postreply 11:43:06

• 回複：log2(0.5) is -1. The power must be -yma16- ♂ (22 bytes) () 10/03/2009 postreply 21:29:13

• It is an open question-do not work on it anymore. -yma16- ♂ (56 bytes) () 10/29/2009 postreply 04:56:14