−15+4/5(15e−10)−10e .(1 point)

Question

Responses

−2e+23
negative 2 e plus 23

2e−23
2 e minus 23

−2e−23
negative 2 e minus 23

2e+23

Answer 1

To simplify the expression \(-15 + \frac{4}{5}(15e^{-10}) - 10e\), let's go step by step.

1. Calculate \(\frac{4}{5}(15e^{-10})\): \[ \frac{4}{5} \cdot 15e^{-10} = \frac{60}{5}e^{-10} = 12e^{-10} \]

2. Substitute that back into the expression: \[ -15 + 12e^{-10} - 10e \]

3. Rearranging the expression: \[ 12e^{-10} - 10e - 15 \]

The expression does not simplify further in terms of combining like terms, but we can analyze what it looks like based on the responses given.

Since none of the options seem to fit the simplified version exactly, let's check one more thing:

• The options include terms like \(e^{23}\) and \(e^{-23}\).
• However, since there is neither a positive exponent term nor a straightforward transformation of \(-15 + 12e^{-10} - 10e\) into a form with exponents like \(e^{23}\) or \(e^{-23}\), we will need to scrutinize the available answers.

Given this analysis, it appears that the proper answer is not directly represented in the options provided, but if you are looking for a response based on sign and exponent manipulation, you may want to choose the closest representation.

If these options were derived from misinterpretations, please check the formulation of the question or restate it if necessary to match the options or provide the correct context. As it stands, based on the computation, none of the provided answers are correct for this expression.