If someone would ask you to evaluate \(2^{2^2}\), you will get the right answer regardless of the order in which you evaluate this expression. Do you know any similar *mathematical coincidences*, as I call them? They do not have to involve exponents.

Of course, things like \(0^{0^{0^{\dots}}}\) or \(1^{1^{1^{\dots}}}\) are not interesting.

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TopNewestI don't remember any off the top of my head, but my calculus students used to find such mathematical coincidences all the time when solving odd-numbered homework problems from their textbook. =) – Yonatan Naamad · 3 years, 6 months ago

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