Divide 3.3×104 by 5.5×107 .(1 point) Responses 6×10−5 6 times 10 to the negative 5 power 6×10−6 6 times 10 to the negative 6 power 6×10−4 6 times 10 to the negative 4 power 6×10−3

Answer 1

To divide \(3.3 \times 10^4\) by \(5.5 \times 10^7\), we can perform the division step by step:

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

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

Putting it all together: \[ \frac{3.3 \times 10^4}{5.5 \times 10^7} = 0.6 \times 10^{-3} \]

We can convert \(0.6\) into scientific notation: \[ 0.6 = 6.0 \times 10^{-1} \]

Thus: \[ 0.6 \times 10^{-3} = 6.0 \times 10^{-1} \times 10^{-3} = 6.0 \times 10^{-4} \]

Therefore, the answer is: \[ \boxed{6 \times 10^{-4}} \]