Evaluate (11×6×5)^6: Product and Power Expression

To solve the problem $\left(11 \times 6 \times 5\right)^6$, we'll apply the power of a product exponent rule. This rule states that when you raise a product to an exponent, you can distribute the exponent to each factor within the product.

Step 1: The given expression is $\left(11 \times 6 \times 5\right)^6$.

Step 2: According to the power of a product rule, $(a \times b \times c)^n = a^n \times b^n \times c^n$.

Applying this to our expression we get:

$\left(11 \times 6 \times 5\right)^6 = 11^6 \times 6^6 \times 5^6$

Step 3: Since multiplication is commutative (i.e., the order of multiplication doesn't affect the result), we can rearrange the terms as follows:

$11^6 \times 6^6 \times 5^6 = 5^6 \times 6^6 \times 11^6$

Both expressions $11^6 \times 6^6 \times 5^6$ and $5^6 \times 6^6 \times 11^6$ are equivalent and correctly represent the expanded form of the original expression.

Therefore, the correct corresponding expressions are both $11^6 \times 6^6 \times 5^6$ and $5^6 \times 6^6 \times 11^6$.

Conclusion: Answers (a) and (b) are correct.