Divide 6.1 × 10^20 by 3.2 × 10^5. Express your answer in Scientific Notation. (6 points)

Question

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: \( 1.9063 \times 10^{15} \)