To multiply the numbers \( (6 \times 10^{-4}) \) and \( (3 \times 10^{11}) \), you can follow these steps:
- Multiply the coefficients: \( 6 \times 3 = 18 \).
- Add the exponents of 10: \( -4 + 11 = 7 \).
So, the result can be expressed as:
\[ 18 \times 10^7 \]
To express this in scientific notation, you would write it as:
\[ 1.8 \times 10^8 \]
Thus, \( (6 \times 10^{-4}) \times (3 \times 10^{11}) = 1.8 \times 10^8 \).