\[\begin{aligned} \frac{(3x^2)^4}{a^4} \cdot \frac{(a^5)^3}{3x^4} &= \frac{3^4x^8}{a^4} \cdot \frac{a^{15}}{3x^4} \\ &= \frac{3^4x^8a^{15}}{3a^4x^4} \\ &= 3^3x^4a^{11} \end{aligned}\]
\[\begin{aligned} 3^3x^4a^{11} &= 27 \cdot (-\frac{5}{4})^4 \cdot (-\frac{1}{4})^{11} \\ &= -27 \cdot \frac{5^4}{4^4} \cdot \frac{1}{4^{11}} \\ &= -27 \cdot \frac{625}{4^{15}} \\ &= -\frac{16875}{4^{15}} \end{aligned}\]
Ответ: -16875 / 4¹⁵