To compute \((-4.12 \times 10^{-4}) \times (7.33 \times 10^{12})\), you can multiply the coefficients and then add the exponents of the powers of 10.
First, multiply the coefficients:
\[ -4.12 \times 7.33 = -30.2056 \]
Next, add the exponents:
\[ -4 + 12 = 8 \]
Now you can combine the results:
\[ -30.2056 \times 10^8 \]
To express this in proper scientific notation, you need to adjust it so that the coefficient is between 1 and 10. In scientific notation, you would rewrite \(-30.2056\) as \(-3.02056 \times 10^1\):
Thus,
\[ -30.2056 \times 10^8 = -3.02056 \times 10^1 \times 10^8 = -3.02056 \times 10^{9} \]
So the final result is:
\[ -3.02056 \times 10^{9} \]