a^b=b^a 与 a^a=b^b 的正有理数解

王守恩

a^b=b^a——正有理数解——还有吗？？？
{{2, 4}, {9/4, 27/8}, {64/27, 256/81}, {625/256, 3125/1024}, {7776/3125, 46656/15625}, {117649/46656, 823543/279936}, {2097152/823543, 16777216/5764801},
{43046721/16777216, 387420489/134217728}, {1000000000/387420489, 10000000000/3486784401}}

a^a=b^b——正有理数解——还有吗？？？
{{1/2, 1/4}, {4/9, 8/27}, {27/64, 81/256}, {256/625, 1024/3125}, {3125/7776, 15625/46656}, {46656/117649, 279936/823543}, {823543/2097152, 5764801/16777216},
{16777216/43046721, 134217728/387420489}, {387420489/1000000000, 3486784401/10000000000}}