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

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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 \( 3.2 \times 10^{5} \), follow these steps:

Step 1: Divide Coefficients

Divide the coefficients \( 6.1 \) by \( 3.2 \):

\[ \frac{6.1}{3.2} \approx 1.90625 \approx 1.91 \text{ (when rounded to two decimal places)} \]

Step 2: Subtract Exponents

Now subtract the exponents in the powers of ten:

\[ 10^{20} \div 10^{5} = 10^{(20 - 5)} = 10^{15} \]

Step 3: Combine the Results

Now, combine the results from steps 1 and 2:

\[ 1.91 \times 10^{15} \]

Final Answer

1.91 x 10^15

So the answer in scientific notation is \( 1.91 \times 10^{15} \).