Let the square of an integer be represented as (a³)² and
the cube of the other integer be represented as (a²)³.
So we simply look for a three-digit number that is the sixth power of another integer.
1⁶, 2⁶, 3⁶, 4⁶ , ...
1, 64, 729, 4096, ...
So the 3 digit number is 729 which is the cube of 9 and the square of 27
