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Mathematical coincidences

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.

Note by Tim Vermeulen
3 years, 3 months ago

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I 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, 3 months ago

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