−15+45(15e−10)−10e

Question

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

2e−23
2
𝑒
−
23
2 e minus 23

2e+23
2
𝑒
+
23
2 e plus 23

−2e−23
−
2
𝑒
−
23
negative 2 e minus 23

−2e+23
−
2
𝑒
+
23
negative 2 e plus 23

Answer 1

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

1. Calculate the term inside the parentheses: \[ 45(15e^{-10}) = 675e^{-10} \]

2. Combine the terms: Now we can rewrite the original expression using this result: \[ -15 + 675e^{-10} - 10e \]

3. Now, we check if we can combine terms: There are no like terms to combine involving \(e^{-10}\) and \(e\) so the expression remains the same.

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

To answer your question to find a form among the provided options:

• None of the options directly corresponds to this simplified form. You might want to verify if the original expression was correctly provided or if the arithmetic could align with simplified exponential forms factoring in the \(e\) terms.

If you'd like to evaluate the polynomial or further manipulate the expression into a factorable form, or if there's a specific direction for presenting the polynomial further, let me know!