To simplify the expression \(-15 + 45(15e^{-10}) - 10e\), let's break it down step by step.
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Calculate \(45(15e^{-10})\): \[ 45 \times 15 = 675 \] So, \(45(15e^{-10}) = 675e^{-10}\).
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Substitute back into the expression: \[ -15 + 675e^{-10} - 10e \]
The next step is to rewrite \(675e^{-10}\) and combine it with the other terms. Since \(e^{-10}\) and \(e\) are not like terms, we cannot combine these further.
The expression: \[ -15 + 675e^{-10} - 10e \] does not seem to simplify to any of the provided options as written.
However, let’s look at whether we were intended to interpret the leading coefficient or to convert any exponential functions. The main form already summarized here does not identify direct equivalence with terms such as \(e^{23}\) etc in possibilities.
If you need further computation for \(e\) powers to be converted or understood, please clarify any exponential simplifications needed otherwise.
Otherwise, based on conventional comprehension, none of the options appear fully appropriate based on presented resolving facts. Please, validate any alternate syntax close to exact terms from your list.
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