To calculate this expression, we can simplify it step by step:

First, let's simplify the expression inside the parentheses:

9^5 = 59049
4^3 = 64
27^4 = 531441
2^5 = 32

Now, we can substitute these values back into the original expression:

(59049 64) / (531441 32)

Next, multiply the numbers in the numerator and denominator:

3779136 / 17002752

Finally, divide the numerator by the denominator to get the final result:

3779136 ÷ 17002752 ≈ 0.2222

Therefore, (9^5 4^3) / (27^4 2^5) is approximately 0.2222.