IF `(a^b)^c`=729`, then find the minimum possible value of `a+b+c` (where a,b and c are positive integers).

If a^(b)=256 , then find the maximum possible value of a.b, where a and b are positive integers.

Find the minimum value of ax+by, where xy=c^(2) and a,b,c are positive.

If a^(b^(t))=6561 ,then find the least possible value of (a.b.c), where a,b and c are integers.

Find the minimum value of a x+b y , where x y=c^2 and a ,\ b ,\ c are positive.

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

If 49392=a^(4)b^(2)c^(3), find the value of a,b and c, where a,b and c are different positive primes.

If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\ a n d\ c are different positive primes.