Talk:Church numerals: Difference between revisions
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===0^0===
Also, it is amazing that 0^0 works out to 1. Still trying to wrap my head around that one. [[User:Garbanzo|Garbanzo]] ([[User talk:Garbanzo|talk]]) 21:17, 23 December 2022 (UTC)
:0^0 is (generally) defined to be 1, which is not necessarily what you might expect, as you note... As a justification, consider x^n: x^n = x(x^(n-1)), so 2^3 = 2(2^2), 2^2 = 2(2^1) and so 2^1 must be 2(2^0). As 2^1 is 2, 2^0 must be 1 and similarly, every integer to the power 0 must be 1. If you imagine drawing a graph of y = x^0, it would be the straight line y = 1. If 0^0 isn't 1, there would be a discontinuity at x = 0. --[[User:Tigerofdarkness|Tigerofdarkness]] ([[User talk:Tigerofdarkness|talk]]) 23:21, 23 December 2022 (UTC)
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