To multiply and write the answer in scientific notation, let's first rewrite the expression you provided. You seem to want to divide \(3 \times 10^6\) by \(12 \times 10^8\):
\[ \frac{3 \times 10^6}{12 \times 10^8} \]
Now, we can separate the coefficients and the powers of ten:
\[ \frac{3}{12} \times \frac{10^6}{10^8} \]
Calculating the coefficients:
\[ \frac{3}{12} = \frac{1}{4} = 0.25 \]
Now for the powers of ten:
\[ \frac{10^6}{10^8} = 10^{6 - 8} = 10^{-2} \]
Now we can combine these results:
\[ 0.25 \times 10^{-2} \]
To express \(0.25\) in scientific notation, we can write it as:
\[ 2.5 \times 10^{-1} \]
Now substitute this back into the equation:
\[ (2.5 \times 10^{-1}) \times 10^{-2} \]
When multiplying the powers of ten, we add the exponents:
\[ 2.5 \times 10^{-1 - 2} = 2.5 \times 10^{-3} \]
So the final answer in scientific notation is:
\[ \mathbf{2.5 \times 10^{-3}} \]