To divide \(6 \times 10^{-1}\) by \(3 \times 10^9\), you can follow these steps:
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Divide the coefficients: \[ \frac{6}{3} = 2 \]
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Subtract the exponents: \[ 10^{-1} \div 10^{9} = 10^{-1 - 9} = 10^{-10} \]
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Combine the results: \[ 2 \times 10^{-10} \]
Thus, the final answer in scientific notation is: \[ 2 \times 10^{-10} \]