There are only 5 perfect squares between 100 and 200: 10^2, 11^2, 12^2, 13^2, 14^2. And there is only 1 oerfect cube, which is 5^3. So, you have a total of 6.
Then: 100 - 6 ==94 integers that are neither perfect squares nor perfect cubes between 100 and 200.
