Question

Divide 3.3×10 power of 4 x 5.5×10 power of seven would the answer be 6×10 power of -5 or 6×10 power of -4 or 6×10 power of -3 or 6×10 power of -6

Answer 1

To divide \( 3.3 \times 10^{4} \) by \( 5.5 \times 10^{7} \), we can follow these steps:

1. Divide the coefficients:
\[
\frac{3.3}{5.5} = 0.6
\]

2. Subtract the exponents of the powers of ten:
\[
10^{4 - 7} = 10^{-3}
\]

3. Combine the results:
\[
0.6 \times 10^{-3}
\]

To express \( 0.6 \) in scientific notation, it can be rewritten as:
\[
6.0 \times 10^{-1}
\]

So we multiply \( 6.0 \times 10^{-1} \) by \( 10^{-3} \):
\[
6.0 \times 10^{-1} \times 10^{-3} = 6.0 \times 10^{-4}
\]

Thus, the result of dividing \( 3.3 \times 10^{4} \) by \( 5.5 \times 10^{7} \) is:
\[
6.0 \times 10^{-4}
\]

From the options you provided, the correct answer would be **\( 6 \times 10^{-4} \)**.