Question

use the exponent function on your calculator (ee or exp) to compute the following.
(-4.12 x 10^-4) (7.33 x 10^12)

Answer 1

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:

\[
-3.02056 \times 10^{9}
\]