Question

−15+45(15e−10)−10e .(1 point)
Responses

−2e+23
negative 2 e plus 23

−2e−23
negative 2 e minus 23

2e+23
2 e plus 23

2e−23

Answer 1

To simplify the expression \(-15 + 45(15e^{-10}) - 10e\), let's break it down step-by-step:

1. Start with the expression:
\[
-15 + 45(15e^{-10}) - 10e
\]

2. Calculate \(45(15e^{-10})\):
\[
45(15e^{-10}) = 675e^{-10}
\]

3. Substitute this back into the expression:
\[
-15 + 675e^{-10} - 10e
\]

4. Now, let’s rewrite the expression neatly:
\[
675e^{-10} - 10e - 15
\]

The expression does not combine naturally into a simpler form with the powers of \(e\) differing. If we are looking for a format that aligns with your multiple-choice options, let's try to factor or rearrange.

Since none of the options directly simplify to this expression, we can evaluate if any manipulation yields results akin to your given answers or align with standard forms.

Reviewing your options:
- \(-2e + 23\)
- \(-2e - 23\)
- \(2e + 23\)
- \(2e - 23\)

None of which appear to relate to the \(e^{-10}\) term. However, if you were interpreting the expression in some restricted environment, please clarify or provide further details on the goal (if it's to evaluate, factor, etc.).

In conclusion, this expression remains as:

\[
675e^{-10} - 10e - 15
\]

However, based on those responses, it's not directly solvable to one of those forms, indicating that there may have been an oversight or misconfiguration regarding the expected transformation or calculation thereof.