Question

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

0.844 x 10^2
0.844 x 10^-2
8.44 x 10^-3
8.44 x 10^12
8.44 x 10^-1

Answer 1

To simplify the expression \( \frac{2.7 \times 10^5}{3.2 \times 10^7} \), we can first simplify the numerical coefficients and then the powers of ten separately.

1. **Divide the coefficients:**
\[
\frac{2.7}{3.2} = 0.84375 \approx 0.844 \text{ (to three significant figures)}
\]

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

Now we can combine the results:
\[
\frac{2.7 \times 10^5}{3.2 \times 10^7} \approx 0.844 \times 10^{-2}
\]

So the simplified result is:
\[
0.844 \times 10^{-2}
\]

Thus, the correct answer is:
**0.844 x 10^-2**