To divide \( 6.1 \times 10^{20} \) by \( 3.2 \times 10^{5} \) and express your answer in scientific notation, follow these steps:
Step 1: Divide the coefficients and subtract the exponents.
-
Divide the coefficients: \[ \frac{6.1}{3.2} \approx 1.90625 \text{ (This rounds to 1.91 for scientific notation)} \]
-
Subtract the exponents: \[ 20 - 5 = 15 \]
Step 2: Combine your results.
After completing Step 1, you can write it as: \[ 1.91 \times 10^{15} \]
Step 3: Ensure your answer is in scientific notation.
Your final answer is already in proper scientific notation, expressing the result of the division: \[ \text{Final answer: } 1.91 \times 10^{15} \]
Summary of Results:
-
Step 1 Results:
- Divide coefficients: \( 1.91 \)
- Subtract exponents: \( 15 \)
-
Final Answer:
- \( 1.91 \times 10^{15} \)