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