To solve the expression \( 600(-0.1)^3 - 40(-0.1)^2 - 4 \), follow these steps:
Calculate \((-0.1)^3\): \[ (-0.1)^3 = -0.001 \]
Calculate \((-0.1)^2\): \[ (-0.1)^2 = 0.01 \]
Substitute these values back into the expression: \[ 600(-0.001) - 40(0.01) - 4 \]
Calculate each term:
- \(600(-0.001) = -0.6\)
- \(40(0.01) = 0.4\)
Combine all the terms: \[ -0.6 - 0.4 - 4 = -5 \]
Thus, the result of the expression \(600(-0.1)^3 - 40(-0.1)^2 - 4\) is \(-5\).