To simplify the expression \((6 \times 10^6) \times 0.005\), we can first convert \(0.005\) to scientific notation:
\[ 0.005 = 5 \times 10^{-3} \]
Now we can rewrite the expression as follows:
\[ (6 \times 10^6) \times (5 \times 10^{-3}) \]
Next, we can rearrange and combine the coefficients and the powers of ten:
\[ (6 \times 5) \times (10^6 \times 10^{-3}) = 30 \times 10^{6 - 3} = 30 \times 10^3 \]
To express \(30\) in scientific notation, we can write:
\[ 30 = 3.0 \times 10^1 \]
Now substituting this back in gives:
\[ 30 \times 10^3 = (3.0 \times 10^1) \times 10^3 = 3.0 \times 10^{1 + 3} = 3.0 \times 10^4 \]
Therefore, the simplified expression is:
\[ 3 \times 10^4 \]
The correct answer is:
C. \(3 \times 10^4\)