2. Упростите: \(\dfrac{(x^4y^3)^3\cdot(x^2y^5)^2}{(x^3y^4)^2\cdot(xy^2)^3}\)

\[\frac{(x^4y^3)^3\cdot(x^2y^5)^2}{(x^3y^4)^2\cdot(xy^2)^3}=\frac{x^{12}y^9\cdot x^4y^{10}}{x^6y^8\cdot x^3y^6}=\frac{x^{16}y^{19}}{x^9y^{14}}=x^7y^5.\]

Ответ: \(x^7y^5\)