Let's simplify the expression step by step:
We start with the expression:
\[ 600(-0.1)^3 - 40(-0.1)^2 - 4 \]
Calculate \((-0.1)^3\): \[ (-0.1)^3 = -0.001 \]
Calculate \((-0.1)^2\): \[ (-0.1)^2 = 0.01 \]
Substitute the values back into the expression: \[ 600(-0.001) - 40(0.01) - 4 \] \[ = -600 \cdot 0.001 - 40 \cdot 0.01 - 4 \]
Calculate each term: \[ -600 \cdot 0.001 = -0.6 \] \[ -40 \cdot 0.01 = -0.4 \]
Now substitute these values into the expression: \[ -0.6 - 0.4 - 4 \]
Combine the terms: \[ -0.6 - 0.4 = -1.0 \] \[ -1.0 - 4 = -5.0 \]
So, the result of the expression \( 600(-0.1)^3 - 40(-0.1)^2 - 4 \) is: \[ \boxed{-5} \]