Author’s abstract: We show that under MA\(_{\text{countable}}\) for each \(k\in\mathbb{N}\) there exists a group whose \(k\)-th power is countably compact but whose \(2^k\)-th power is not countably compact. In particular, for each \(k\in\mathbb{N}\) there exists \(l\leq [k,2^k)\) and a group whose \(l\)-th power is countably compact but the \((l+1)\)-st power is not countably compact.