Question

scientific notation simplify
2.7 x 10^5 / 3.2 x 10^7

Answer 1

To simplify the expression \( \frac{2.7 \times 10^5}{3.2 \times 10^7} \), you can divide the coefficients (2.7 and 3.2) and subtract the exponents of 10.

Here's the step-by-step simplification:

1. Divide the coefficients:
\[
\frac{2.7}{3.2} \approx 0.84375
\]

2. Subtract the exponents:
\[
10^{5 - 7} = 10^{-2}
\]

3. Combine the results:
\[
0.84375 \times 10^{-2}
\]

4. To express this in proper scientific notation, you can rewrite \( 0.84375 \) as \( 8.4375 \times 10^{-1} \). Therefore, we have:
\[
8.4375 \times 10^{-1} \times 10^{-2} = 8.4375 \times 10^{-3}
\]

Thus, the final simplified expression is:
\[
8.4375 \times 10^{-3}
\]