Упростите: \(\frac{(x^5)^6\cdot x^4}{(x^2)^9}\); \(\frac{y^7\cdot(y^3)^5}{(y^8)^2}\).

1. \[\frac{(x^5)^6\cdot x^4}{(x^2)^9}=\frac{x^{30}\cdot x^4}{x^{18}}=x^{30+4-18}=x^{16}.\]
2. \[\frac{y^7\cdot(y^3)^5}{(y^8)^2}=\frac{y^7\cdot y^{15}}{y^{16}}=y^{7+15-16}=y^6.\]

Ответ: \(x^{16}\); \(y^6\).