Решите уравнение: (3x^3)^5*(3x^3)^4/(9x^6)^4=24.

\[\frac{\left( 3x^{3} \right)^{5} \bullet \left( 3x^{3} \right)^{4}}{\left( 9x^{6} \right)^{4}} = 24\]

\[\frac{3^{5}x^{15} \bullet 3^{4}x^{12}}{3^{8}x^{24}} = 24\]

\[\frac{3^{9}x^{27}}{3^{8}x^{24}} = 24\]

\[3x³ = 24\ \ \ |\ :3\]

\[x^{3} = 8\]

\[x = 2.\]