2) (xy³)⁷ · (x⁶y⁴)³ : (x²⁴y³²);

\( (xy^3)^7 \cdot (x^6y^4)^3 : (x^{24}y^{32}) = x^7y^{21} \cdot x^{18}y^{12} : x^{24}y^{32} \)

\(=x^{7+18-24}y^{21+12-32}=xy \)

Ответ: \(xy\).