Answer:
4 < n < 130.
Step-by-step explanation:
n is a positive integer
n^100 > 2^200
2^2*100 = 2^200
4 ^100 = 2^200
So n > 4
(130n)^50 > n^100
130^50 * n^50 > n^100
130^50 > n^50
130 >n
so n < 130.
