Can someone please help me with this question finding it very difficult

Thanks Edgar

Let K be a field and s an indeterminate. Then K(s) is a field extension of K(s^n). Prove that [K(s) : K(s^n)] = n.

Hence show that the minimum polynomial of s over K(s^n) is t^n - s^n.

Hint: first show that s satisifies a polynomial of degree n over K(s^n); this gives <=. Then show that {1,s,...,s^(n-1)} is linearly independent over K(s^n); this gives you >=.