Question

use the exponent function on your calculator (ee or exp) to compute the following.

(8.2 10^-3) (-7.9 10^7)
-----------------------------
7.3 x 10^-16

Answer 1

Let's compute the given expression step-by-step.

The expression is:

\[
\frac{(8.2 \times 10^{-3}) \times (-7.9 \times 10^{7})}{7.3 \times 10^{-16}}
\]

First, we'll calculate the numerator:

\[
(8.2 \times 10^{-3}) \times (-7.9 \times 10^{7}) = (8.2 \times -7.9) \times (10^{-3} \times 10^{7})
\]

Calculating \(8.2 \times -7.9\):

\[
8.2 \times -7.9 = -64.78
\]

Now, multiplying the powers of ten:

\[
10^{-3} \times 10^{7} = 10^{-3 + 7} = 10^{4}
\]

So, the numerator is:

\[
-64.78 \times 10^{4}
\]

Now, let's divide this result by the denominator \(7.3 \times 10^{-16}\):

\[
\frac{-64.78 \times 10^{4}}{7.3 \times 10^{-16}} = \frac{-64.78}{7.3} \times \frac{10^{4}}{10^{-16}}
\]

Calculating \(\frac{-64.78}{7.3}\):

\[
\frac{-64.78}{7.3} \approx -8.86 \quad (\text{rounded to two decimal places})
\]

Now, calculating \(\frac{10^{4}}{10^{-16}}\):

\[
10^{4} \times 10^{16} = 10^{4 + 16} = 10^{20}
\]

Putting it all together:

\[
-8.86 \times 10^{20}
\]

Therefore, the final result of the expression is approximately:

\[
-8.86 \times 10^{20}
\]