Question

−15+4/5(15e−10)−10e
.(1 point)
Responses

−2e−23
negative 2 e minus 23

−2e+23
negative 2 e plus 23

2e+23
2 e plus 23

2e−23

Answer 1

Let's simplify the expression step by step:

The given expression is:

\[
-15 + \frac{4}{5}(15e^{-10}) - 10e
\]

1. Start with the multiplication:
\[
\frac{4}{5}(15e^{-10}) = 12e^{-10}
\]

2. Now substitute this back into the expression:
\[
-15 + 12e^{-10} - 10e
\]

3. Since there are no like terms that can be simplified further with respect to \(e^{-10}\) or \(e\), the expression cannot be further simplified.

Thus, the most simplified form is:

\[
-15 + 12e^{-10} - 10e
\]

However, none of the answer choices match directly with this expression. Assume we might be looking for a form wherein we factor \(e^{-10}\) out or factor in a meaningful way, but based on the provided responses, it appears these results are related to manipulating the exponent.

If we had \(e^{-10}\) represented in a different exponent, the negative exponent \(e^{-10}\) could be expressed differently.

If we consider \(e^{-10} = \frac{1}{e^{10}}\), we can interpret our response options in terms of powers of \(e\):

- None of the responses seem to fit perfectly.
- Given that all final choices reflect \(e^{23}\) and \(e^{-23}\), it indicates either a misinterpretation or comparison isn't laid right.

From the setup of variables in contrast to clear number results, we pick:
\[
\text{Final answer could be interpreted as potentially innovative relative to choices, but no direct match in style.}
\]

Ultimately, evaluate against position pattern from your representation alongside \(e\) and constants but anticipation leads to some decode as listing choices reveal:

None accurately match calculated output directly!

Would need cross-check wider context or assess based on additional instruction data!

In given setups, verify precision of comparison since context strings differ based outcome design.