6 x 10^-1/3 x 10^9 divide and write your answer in scientific notation.

Answer 1

To divide \( 6 \times 10^{-1} \) by \( 3 \times 10^9 \), you can split the problem into two parts: the coefficients (6 and 3) and the powers of ten (\(10^{-1}\) and \(10^9\)).

1. Divide the coefficients: \[ \frac{6}{3} = 2 \]

2. Apply the laws of exponents for the powers of ten: \[ \frac{10^{-1}}{10^9} = 10^{-1 - 9} = 10^{-10} \]

Now, combine the results: \[ 2 \times 10^{-10} \]

Finally, express the answer in scientific notation: \[ 2.0 \times 10^{-10} \]

Thus, the final answer is: \[ \boxed{2.0 \times 10^{-10}} \]