The zero-to-the-power-of-zero problem

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The [ilmath]0^0[/ilmath] problem
[ilmath]0^0[/ilmath]

Problem

For a detailed list of where the problem matters or occurs on this site see Category for such problemsEditors:[Note 1]

Tentative solutions

Current thinking

Approach 1: [ilmath]x^y\eq e^{y\text{ln}(x)} [/ilmath]

Using the extended real values ([ilmath]\mathbb{R}\cup\{-\infty,+\infty\} [/ilmath])[Note 2]

Notes

  1. editors see/use Template:0^0 problem
  2. Where we conventionally think of [ilmath]+\infty[/ilmath] as some sort of

References