Divide the following numbers in scientific notation and express the result in scientific notation to one decimal place, if necessary. \[ \frac{4 \times 10^{7}}{5 \times 10^{4}} \]

To divide two numbers in scientific notation, you divide the coefficients and subtract the exponents. So, for \(\frac{4 \times 10^{7}}{5 \times 10^{4}}\): 1. Divide the coefficients: \(\frac{4}{5} = 0.8\) 2. Subtract the exponents: \(7 - 4 = 3\) Putting it all together: \[ \frac{4 \times 10^{7}}{5 \times 10^{4}} = 0.8 \times 10^{3} \] To express this in proper scientific notation, you need the coefficient to be between 1 and 10. Therefore, you can adjust it: \[ 0.8 \times 10^{3} = 8.0 \times 10^{2} \] The final answer is: \[ 8.0 \times 10^{2} \]