Question

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

2e−23
2 e minus 23

−2e−23
negative 2 e minus 23

−2e+23
negative 2 e plus 23

2e+23

Answers

Answered by GPT-4o mini
To simplify the expression \(-15 + 45(15e^{-10}) - 10e\), let's break it down step by step:

1. **Distribute the multiplication**:
\[
45(15e^{-10}) = 675e^{-10}
\]

2. **Now substituting this back into our expression**:
\[
-15 + 675e^{-10} - 10e
\]

3. **This expression cannot be simplified further without additional information about \(e\)**.

Since we want to evaluate or simplify it, let's assume that we're looking for a common factor or a specific form. However, we might also be trying to find the terms that contain \(e\).

The final expression is:
\[
675e^{-10} - 10e - 15
\]

None of the options you provided seem to match that expression. However, if you need the evaluation at \(e^{-10}\) or just the dominant term considering \(e\), it will have to depend on the context you are approaching.

If you're looking for a numerical approximation or a specific term relating \(e\), please clarify. Otherwise, none of the given options directly fits the formulation of that expression.
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