This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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