To solve this expression, we need to follow the order of operations (also known as PEMDAS).

First, we need to simplify the expression inside the parentheses:
19 + 17 = 36

Next, we need to calculate the exponent:
36^2 = 1296

Now, we can perform the division:
1296 / 18 = 72

Finally, we can subtract:
88 - 72 = 16

Therefore, the value of the expression is 16.