rw [UniqueFactorizationMonoid.normalizedFactors_pow, Multiset.count_nsmul]
z : ℤ
n : ℕ
⊢ Multiset.count 2 (UniqueFactorizationMonoid.normalizedFactors (z ^ n)) =
    n * Multiset.count 2 (UniqueFactorizationMonoid.normalizedFactors z)
no goals