( -2 )^3 - 45 : (-3^2) + ( -2019 )^0 . ( -1 )^ 2019

To simplify this expression, we need to follow the order of operations (PEMDAS).

First, let's simplify the exponents:
(-2)^3 = -8
(-3^2) = -3 * -3 = 9
(-2019)^0 = 1 (any number raised to the power of 0 is equal to 1)
(-1)^2019 = -1 (an odd power of -1 is always -1)

Now, let's substitute these values back into the expression:
(-2)^3 - 45 : (-3^2) + (-2019)^0 . (-1)^2019
= -8 - 45 : 9 + 1 . (-1)
= -8 - 45 : 9 - 1
= -8 - 45 : 8
= -53 : 8
= -6.625

Therefore, the value of the expression is -6.625.