Multiply. \( \left.\qquad \begin{array}{l}6 v \cdot 2 x^{5} \cdot 3 v^{6} x^{9} \\ \text { Simplify your answer as much as possible. } \\ \hline \square\end{array}\right) \)

To multiply and simplify the expression \(6v \cdot 2x^{5} \cdot 3v^{6}x^{9}\), follow these steps: 1. **Multiply the coefficients:** \[ 6 \times 2 \times 3 = 36 \] 2. **Combine the like terms for \(v\):** \[ v \times v^{6} = v^{1+6} = v^{7} \] 3. **Combine the like terms for \(x\):** \[ x^{5} \times x^{9} = x^{5+9} = x^{14} \] Putting it all together, the simplified expression is: \[ 36v^{7}x^{14} \] **Final Answer:** \[ 36v^{7}x^{14} \]