To simplify the expression 3^7 × 16^3 / 11^5 × 27^2, we can break it down step by step:

First, let's simplify the exponents:
3^7 = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187
16^3 = 16 × 16 × 16 = 4096
11^5 = 11 × 11 × 11 × 11 × 11 = 161051
27^2 = 27 × 27 = 729

Now, substitute these values back into the expression:
2187 × 4096 / 161051 × 729

Next, perform the multiplication and division from left to right:
(2187 × 4096) / (161051 × 729) = 8957952 / 117374679

Finally, divide the numerator by the denominator:
8957952 / 117374679 ≈ 0.0763 (rounded to four decimal places)

Therefore, 3^7 × 16^3 / 11^5 × 27^2 is approximately equal to 0.0763.