If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is

If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is

(3^8)^n=(3^6)^m
3^(8n)=3^(6m)
8n=6m
n=3m/4
So m is a multiple of 4
So m min is 4, then n min is 3
So the minimum Mn is 12