use the exponent function on your calculator (ee or exp) to compute the following.

Question

5.6 x 10^-2
---------------
8.9 x 10^8

Answer 1

To compute \( \frac{5.6 \times 10^{-2}}{8.9 \times 10^{8}} \), you can follow these steps:

1. Convert to standard form: The expression can be rewritten to separate the coefficients and the powers of ten: \[ \frac{5.6}{8.9} \times \frac{10^{-2}}{10^{8}} \]

2. Calculate the coefficients: \[ \frac{5.6}{8.9} \approx 0.6303 \]

3. Calculate the powers of ten: \[ \frac{10^{-2}}{10^{8}} = 10^{-2 - 8} = 10^{-10} \]

4. Combine the results: \[ 0.6303 \times 10^{-10} \]

5. Express in proper scientific notation: \[ 6.303 \times 10^{-11} \]

Thus, the final result of \( \frac{5.6 \times 10^{-2}}{8.9 \times 10^{8}} \) is approximately: \[ 6.303 \times 10^{-11} \]