№ 2. Выполните умножение одночленов: 1) 7mn^2 · (−2m^2n^6); 2) (3m^7n^5)^2; 3) (2 1/3 m^24n^18)^2.

1. \(7mn^2\cdot(-2m^2n^6)=-14m^{1+2}n^{2+6}=-14m^3n^8\).
2. \((3m^7n^5)^2=3^2m^{14}n^{10}=9m^{14}n^{10}\).
3. \(\left(2\dfrac{1}{3}m^{24}n^{18}\right)^2=\left(\dfrac{7}{3}\right)^2m^{48}n^{36}=\dfrac{49}{9}m^{48}n^{36}\).

Ответ: 1) −14m^3n^8; 2) 9m^14n^10; 3) \(\dfrac{49}{9}m^{48}n^{36}\).