Divide 6.1×10(20)

by 3.2×10(5)
. Express your answer in Scientific Notation.(6 points)
Step 1: Response area Result: Response area

Step 2: Response area Result: Response area

Step 3: Response area Final answer: Response area

Step 1 & results
add coefficients
Subtract coefficients
divide coefficients
2.9
1.91
9.3
Step 2 & results
10(25)
10(15)
10(4)
divide exponents
Subtract exponents
add exponents
Step 3 & results
make sure your answer is in scientific notation
1.91 X 10(15)
2.9 X 10(25)
9.3 X 10(4)

1 answer

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.

  1. Divide the coefficients: \[ \frac{6.1}{3.2} \approx 1.90625 \text{ (This rounds to 1.91 for scientific notation)} \]

  2. 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:

    • \( 1.91 \times 10^{15} \)