[pi^(e) + e^(pi)]/[e^(pi) - pi^(e)] =

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- Nov 18th 2010, 02:48 PM #1

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- Nov 18th 2010, 02:54 PM #2

- Nov 18th 2010, 03:11 PM #3
Are you asked to evaluate this to a certain number of decimal places? Since this is transcendental, at the moment this is the exact answer.

The best you can hope for to simplify it exactly is to turn it into a proper fraction.

$\displaystyle \displaystyle \frac{\pi^e + e^{\pi}}{e^{\pi} - \pi^e} = \frac{e^{\pi} - \pi^e + 2\pi^e}{e^{\pi} - \pi^e}$

$\displaystyle \displaystyle = 1 + \frac{2\pi^e}{e^\pi - \pi^e}$.

- Nov 18th 2010, 05:44 PM #4

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