Bot GPT 4-o mini To simplify the expression \(-15 + 45(15e^{-10}) - 10e\), follow these steps:
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First, calculate \(45(15e^{-10})\): \[ 45 \times 15 = 675 \] Thus, \(45(15e^{-10}) = 675e^{-10}\).
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Substitute this back into the expression: \[ -15 + 675e^{-10} - 10e \]
So, the simplified expression is: \[ -15 + 675e^{-10} - 10e \]
If you need a numerical approximation, the values of \(e\) and \(e^{-10}\) can be computed as:
- \(e \approx 2.71828\)
- \(e^{-10} \approx 0.0000453999\)
However, without needing further numerical calculations, the final simplified expression remains: \[ -15 + 675e^{-10} - 10e \]
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