(х⁴ * х¹¹)³ _____ х²

To simplify the expression \(\frac{(x^4 \cdot x^{11})^3}{x^2}\), we can follow these steps:

1. Combine the exponents in the numerator: \[ x^4 \cdot x^{11} = x^{4 + 11} = x^{15} \]

2. Raise the result to the power of 3: \[ (x^{15})^3 = x^{15 \cdot 3} = x^{45} \]

3. Now rewrite the whole expression: \[ \frac{x^{45}}{x^2} \]

4. Subtract the exponents in the denominator from the numerator: \[ x^{45 - 2} = x^{43} \]

Thus, the simplified expression is: \[ x^{43} \]