\(\left(-125\right)\cdot\left(-14\right)\cdot\left(-8\right)\cdot\left(-3\right)\)
\(=\left[\left(-125\right)\cdot\left(-8\right)\right]\cdot\left[\left(-14\right)\cdot\left(-3\right)\right]\)
\(=\left(125\cdot8\right)\cdot\left(14\cdot3\right)\)
\(=1000\cdot42\)
\(=42000\)