Question

Divide 6.1 × 10^20 by 3.2 × 10^5. Express your answer in Scientific Notation. (6 points)
Put responses in the correct input to answer the question.

Step 1: Response area Result: Response area

Step 2: Response area Result: Response area

Step 3: Response area Final answer: Response area

Answer 1

To divide \( 6.1 \times 10^{20} \) by \( 3.2 \times 10^{5} \), follow these steps:

### Step 1: Divide the coefficients
\[
\frac{6.1}{3.2} = 1.90625
\]

### Step 2: Subtract the exponents
Using the property of exponents \( a^m / a^n = a^{m-n} \):
\[
10^{20} / 10^{5} = 10^{20-5} = 10^{15}
\]

### Step 3: Combine the results
Now combine the results from Step 1 and Step 2:
\[
1.90625 \times 10^{15}
\]

### Final answer: Convert to proper scientific notation
To express the answer in proper scientific notation, we need to change \( 1.90625 \) to \( 1.9063 \) (rounded):
\[
1.9063 \times 10^{15}
\]

### Response inputs:
- **Step 1: Response area**: \( 1.90625 \)
- **Result: Response area**: \( 1.90625 \)

- **Step 2: Response area**: \( 10^{15} \)
- **Result: Response area**: \( 10^{15} \)

- **Step 3: Response area**: \( 1.90625 \times 10^{15} \)
- **Final answer: Response area**: \( 1.9063 \times 10^{15} \)