Multiply. Write your answer in scientific nota \( \left(8 \times 10^{14}\right)\left(5 \times 10^{-3}\right) \)

First, multiply the coefficients: \(8 \times 5 = 40\). Next, for the powers of ten, add the exponents: \(10^{14} \times 10^{-3} = 10^{14 + (-3)} = 10^{11}\). Therefore, we have \(40 \times 10^{11}\). To express this in proper scientific notation, we need to represent 40 as \(4.0 \times 10^1\). Combining this gives us \(4.0 \times 10^1 \times 10^{11} = 4.0 \times 10^{12}\). So, the final answer is: \(4.0 \times 10^{12}\).