1.6.55 Fields, Groups, Rings

Condition: Let \ (G \) Cyclic group \ (c_ {n} \). Let \ (a, b \ in g \ quad \) and \ (\ quad S \ in \ Mathbb {n}, s \ geq 1 \) are such that \ (a^} = b^{s} \), node \ (s, n) = 1 \). Show that \ (a = b \).