3. Төмендегі амалдарды орындаңдар: 1) 27c²/(5d) : (−18c³d²); 2) 14a²/(9x³) : 7a/(4x²); 3) 7x²/(10a³) : x/(15a⁵); 4) 27a³ · a²/b² : 18a⁵/(7b³).

1. \(\dfrac{27c^2}{5d}:(-18c^3d^2)=\dfrac{27c^2}{5d}\cdot\dfrac1{-18c^3d^2}=-\dfrac3{10c d^3}\).
2. \(\dfrac{14a^2}{9x^3}:\dfrac{7a}{4x^2}=\dfrac{14a^2}{9x^3}\cdot\dfrac{4x^2}{7a}=\dfrac{8a}{9x}\).
3. \(\dfrac{7x^2}{10a^3}:\dfrac{x}{15a^5}=\dfrac{7x^2}{10a^3}\cdot\dfrac{15a^5}{x}=\dfrac{21a^2x}{2}\).
4. \(27a^3\cdot\dfrac{a^2}{b^2}:\dfrac{18a^5}{7b^3}=27a^3\cdot\dfrac{a^2}{b^2}\cdot\dfrac{7b^3}{18a^5}=\dfrac{21b}{2}\).

Жауап: 1) \(-\dfrac3{10cd^3}\); 2) \(\dfrac{8a}{9x}\); 3) \(\dfrac{21a^2x}{2}\); 4) \(\dfrac{21b}{2}\).