which is bigger?

i understood what you are saying

                              ⁰

                           ¹

                        ²

                     ³

                  ⁴

               ⁵

            ⁶

         ⁷

       ⁸

 [9]                 =        9⁰        =     1

So......the first thing is infinitely larger  !!!!

1^0=1  but how the others became 0

Note, Solveit

[ [9^2]^1 ]^0  = [ [81]^1 ] ^0   =  [81]^0  =  1

So

 [ [9^8]^7]^6] .........]^0    = [ 9^(8!)]^0   =  1

http://www.wolframalpha.com/input/?i=9++++++++%5E++++++++++8++++++++%5E++++++++++++++7++++++++++%5E++++++++++6++++++%5E++++++++++5+++++++%5E+++++++++4++++++%5E+++++++3++++++%5E++++2+++++%5E+++1+%5E+0

I don't get that Wolfram|Alpha output ://