Divide 3.3×10^4

Question

by 5.5×10^7
.(1 point)
Responses

6×10−6
6 times 10 to the negative 6 power

6×10−4
6 times 10 to the negative 4 power

6×10−5
6 times 10 to the negative 5 power

6×10−3
6 times 10 to the negative 3 power
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Answer 1

To divide \(3.3 \times 10^4\) by \(5.5 \times 10^7\), you can follow these steps:

1. Divide the coefficients: \[ \frac{3.3}{5.5} = 0.6 \]

2. Subtract the exponents of 10: \[ 10^4 \div 10^7 = 10^{4 - 7} = 10^{-3} \]

3. Combine the results: \[ 0.6 \times 10^{-3} \]

4. To express \(0.6\) in scientific notation: \[ 0.6 = 6 \times 10^{-1} \]

5. Thus, the expression becomes: \[ 6 \times 10^{-1} \times 10^{-3} = 6 \times 10^{-4} \]

Therefore, the answer to \( \frac{3.3 \times 10^4}{5.5 \times 10^7} \) is: \[ 6 \times 10^{-4} \]

The correct response is 6×10−4 (6 times 10 to the negative 4 power).