Решите уравнение: (2x^3)^5*(2x^2)^4/(4x^5)^4=54.

\[\frac{\left( 2x^{3} \right)^{5} \bullet \left( 2x^{2} \right)^{4}}{\left( 4x^{5} \right)^{4}} = 54\]

\[\frac{2^{5} \bullet x^{15} \bullet 2^{4} \bullet x^{8}}{2^{8}x^{20}} = 54\]

\[\frac{2^{9} \bullet x^{23}}{2^{8} \bullet x^{20}} = 54\]

\[2x³ = 54\ \ \ \ |\ :2\]

\[x^{3} = 27\]

\[x = 3.\]