(-3 \cdot 10^4) \cdot (2\cdot10^{-3}) =

Answer 1

To solve \((-3 \cdot 10^4) \cdot (2 \cdot 10^{-3})\), we can break it down step-by-step.

1. Multiply the coefficients: \[ -3 \cdot 2 = -6 \]

2. Multiply the powers of 10: \[ 10^4 \cdot 10^{-3} = 10^{4 + (-3)} = 10^{1} = 10 \]

3. Combine the results: \[ -6 \cdot 10 = -6 \cdot 10^1 \]

Thus, the final result is: \[ \boxed{-60} \]