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!