0^0

Yes, your fears are confirmed. What is zero to the power of ZERO?

In fact, it is undefined. But why do some webs say it’s 1?

Technically, it goes towards 1.

  • 0 to the power of any number is 0, right?
  • any number to the power of 0 is 1, right?
  • What if you put them together?
  • take a limit
  • 1^1 = 1 (obv.)
  • three decimal places
  • 0.9^0.9 = 0.909
  • 0.8^0.8 = 0.836
  • 0.7^0.7 = 0.779
  • 0.6^0.6 = 0.736
  • 0.5^0.5 = 0.707
  • 0.4^0.4 = 0.693
  • 0.3^0.3 = 0.696
  • 0.2^0.2 = 0.724
  • 0.1^0.1 = 793
  • Going on forever, it approaches 1

WOW!

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