To simplify the expression √6^5/√2^3 * 3^5, we can break it down step by step.

First, let's simplify the numerator √6^5:
√6^5 = √(6^5) = √(7776) = 88

Next, let's simplify the denominator √2^3:
√2^3 = √(2^3) = √(8) = 2√2

Now, we have 88/2√2 * 3^5.

Next, let's simplify 3^5:
3^5 = 3 * 3 * 3 * 3 * 3 = 243

Now, we have 88/2√2 * 243.

To simplify further, let's simplify 88/2:
88/2 = 44

Now, we have 44√2 * 243.

To simplify further, let's multiply 44 and 243:
44 * 243 = 10692

Finally, we have 10692√2 as the simplified expression.