a) 44a⁴b²c⁶: (11a²bc³); б) 198x⁵y⁴z²: (2x⁴y²z); в) 144m⁵n⁹k⁴: (12m²n⁷k); г) 258p⁹q⁴r¹⁷: (3p⁶q²r¹⁵).

a) 44a⁴b²c⁶ ∶ (11a²bc³) = (44 ∶ 11) × (a⁴ ∶ a²) × (b² ∶ b) × (c⁶ ∶ c³) = 4 ∙ a^(4−2) ∙ b^(2−1) ∙ c^(6−3) = 4a²bc³

б) 198x⁵y⁴z² ∶ (2x⁴y²z) = (198 ∶ 2) × (x⁵ ∶ x⁴) × (y⁴ ∶ y²) × (z² ∶ z) = 99 ∙ x^(5−4) ∙ y^(4−2) ∙ z^(2−1) = 99xy²z

в) 144m⁵n⁹k⁴ ∶ (12m²n⁷k) = (144 ∶ 12) × (m⁵ ∶ m²) × (n⁹ ∶ n⁷) × (k⁴ ∶ k) = 12 ∙ m^(5−2) ∙ n^(9−7) ∙ k^(4−1) = 12m³n²k³

г) 258p⁹q⁴r¹⁷ ∶ (3p⁶q²r¹⁵) = (258 ∶ 3) × (p⁹ ∶ p⁶) × (q⁴ ∶ q²) × (r¹⁷ ∶ r¹⁵) = 86 ∙ p^(9−6) ∙ q^(4−2) ∙ r^(17−15) = 86p³q²r²

Ответ: a) 4a²bc³; б) 99xy²z; в) 12m³n²k³; г) 86p³q²r²