Solve Product of Powers: 9¹¹ × 7¹¹ × 6¹¹ Expression

To solve the problem $9^{11}\times7^{11}\times6^{11}=\text{ }$, we will apply the power of a product rule.

Step 1: Identify the expression and common exponent
The expression given is $9^{11} \times 7^{11} \times 6^{11}$. Notice that all three terms share the common exponent 11.

Step 2: Apply the Power of a Product rule
According to the power of a product rule, where you have multiple terms each raised to the same power, you can rewrite the expression as a single product raised to that common power. This means:

$(9 \times 7 \times 6)^{11}$

This expression consolidates the original terms under a single exponent.

Step 3: Verify the form of the solution
The choices provided show the expression in a generalized form without calculating the product. Hence, the expression can be represented as:

$(9 \times 7 \times 6)^{11}$ or $(6 \times 7 \times 9)^{11}$ or $(7 \times 6 \times 9)^{11}$

Conclusion:
Therefore, any of the options where the bases are multiplied together under the common exponent 11 correctly represent the simplified expression. Thus, the answer is "All of the above".