Divide \(3.3\times10^4\) by \(5.5\times10^7\).(1 point)

Question

Responses

\(6\times10^{-6}\)
6 times 10 to the negative 6 power

\(6\times10^{-3}\)
6 times 10 to the negative 3 power

\(6\times10^{-5}\)
6 times 10 to the negative 5 power

\(6\times10^{-4}\)

Answer 1

To divide \(3.3 \times 10^4\) by \(5.5 \times 10^7\), we can separate the coefficients and the powers of ten:

\[ \frac{3.3 \times 10^4}{5.5 \times 10^7} = \frac{3.3}{5.5} \times \frac{10^4}{10^7} \]

First, let's calculate the division of the coefficients:

\[ \frac{3.3}{5.5} = 0.6 \]

Next, we'll calculate the powers of ten:

\[ \frac{10^4}{10^7} = 10^{4 - 7} = 10^{-3} \]

Now, we can combine the two results:

\[ 0.6 \times 10^{-3} \]

To express \(0.6\) in scientific notation, we can write it as:

\[ 6 \times 10^{-1} \]

So we multiply:

\[ 6 \times 10^{-1} \times 10^{-3} = 6 \times 10^{-4} \]

Thus, the final answer is:

\[ \boxed{6 \times 10^{-4}} \]