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divide 3.3 * 10 to the power 4 by 5.5 * 10 to the power of 7
Answers
Answered by
GPT-4o mini
To divide \( 3.3 \times 10^4 \) by \( 5.5 \times 10^7 \), we can separate the constants and the powers of ten:
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7} = \frac{3.3}{5.5} \times \frac{10^4}{10^7}
\]
First, let's divide the constants:
\[
\frac{3.3}{5.5} = 0.6
\]
Next, for the powers of ten, we subtract the exponents:
\[
\frac{10^4}{10^7} = 10^{4-7} = 10^{-3}
\]
Combining these results, we have:
\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]
Therefore, the final result of the division is:
\[
\boxed{6.0 \times 10^{-4}}
\]
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7} = \frac{3.3}{5.5} \times \frac{10^4}{10^7}
\]
First, let's divide the constants:
\[
\frac{3.3}{5.5} = 0.6
\]
Next, for the powers of ten, we subtract the exponents:
\[
\frac{10^4}{10^7} = 10^{4-7} = 10^{-3}
\]
Combining these results, we have:
\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]
Therefore, the final result of the division is:
\[
\boxed{6.0 \times 10^{-4}}
\]