(-4.5 x 10^4)/(1.5 x 10^-2. Write answer in scientific notation

1 answer

To solve the expression \((-4.5 \times 10^4) / (1.5 \times 10^{-2})\), we can separate the numerical and the exponential parts.

  1. Numerical part: \[ \frac{-4.5}{1.5} = -3 \]

  2. Exponential part: \[ \frac{10^4}{10^{-2}} = 10^{4 - (-2)} = 10^{4 + 2} = 10^6 \]

Now, combine the two results: \[ -3 \times 10^6 \]

To express this in scientific notation, we write it as: \[ -3.0 \times 10^6 \]

Thus, the final answer is: \[ \boxed{-3.0 \times 10^6} \]