Simplify the Complex Fraction: (6⁶ × 11⁶)/(5⁶ × 13⁶)

Insert the corresponding expression:

$\frac{6^6\times11^6}{5^6\times13^6}=$

To solve this problem, we'll follow these steps:

• Step 1: Apply the product of powers formula

• Step 2: Simplify the combined powers into a single fraction with one exponent

Now, let's work through each step:
Step 1: Using $(a^m \times b^m) = (a \times b)^m$, we get:
$(6^6 \times 11^6) = (6 \times 11)^6$ and $(5^6 \times 13^6) = (5 \times 13)^6$.

Step 2: Simplifying the expression, we get:
$\frac{(6^6 \times 11^6)}{(5^6 \times 13^6)} = \frac{(6 \times 11)^6}{(5 \times 13)^6} = \left(\frac{6 \times 11}{5 \times 13}\right)^6$.

This transformation matches both option B and C in the provided answer choices.

Therefore, the correct answer is$\textbf{B + C are correct}$.