Let's first simplify the expression step by step:

(-2)(-3)^17:

Using the rule that a negative number raised to an odd power is still negative, we have:
(-2)(-3)^17 = -2 * (-4782969) = 9565938

-(-3)^16:

Again, using the rule that a negative number raised to an even power is positive, we have:
-(-3)^16 = 4782969

(3^2)^7:

Simplify the expression inside the parentheses:
(3^2)^7 = 3^14 = 4782969

Putting it all together:

9565938 - 4782969 / 4782969 3 5 = 4782969 / 4782969 3 5 = 3 * 5 = 15

Therefore, the final simplified expression is 15.