Question
1.95*10^6 / 8.03X10^-8
Answers
GPT-4o mini
To calculate \( \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \), you can separate the coefficients and the powers of ten:
1. **Divide the coefficients**:
\[
\frac{1.95}{8.03} \approx 0.243
\]
2. **Subtract the exponents** (using the properties of exponents \( a^m / a^n = a^{m-n} \)):
\[
10^{6 - (-8)} = 10^{6 + 8} = 10^{14}
\]
3. **Combine the results**:
\[
0.243 \times 10^{14}
\]
4. **Convert to scientific notation** (if necessary, moving the decimal point to the right one place will increase the exponent by 1):
\[
2.43 \times 10^{13}
\]
So, \( \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \approx 2.43 \times 10^{13} \).
1. **Divide the coefficients**:
\[
\frac{1.95}{8.03} \approx 0.243
\]
2. **Subtract the exponents** (using the properties of exponents \( a^m / a^n = a^{m-n} \)):
\[
10^{6 - (-8)} = 10^{6 + 8} = 10^{14}
\]
3. **Combine the results**:
\[
0.243 \times 10^{14}
\]
4. **Convert to scientific notation** (if necessary, moving the decimal point to the right one place will increase the exponent by 1):
\[
2.43 \times 10^{13}
\]
So, \( \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \approx 2.43 \times 10^{13} \).