query: Why is a raised to the power of Zero is 1?
positive_passages.docid: 122737
positive_passages.text: How to understand why $x^0 = 1$, where $x$ is any real number?
negative_passages.docid: 133695
negative_passages.text: Induction, 0'1 and 1's sequence fun question
negative_passages.docid: 108923
negative_passages.text: What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
negative_passages.docid: 19628
negative_passages.text: What is wrong with this fake proof $e^i = 1$?
negative_passages.docid: 122076
negative_passages.text: A one line proof that one is zero using Mathematica 10
negative_passages.docid: 95350
negative_passages.text: Why does 1 // 0.1 == 9.0?
negative_passages.docid: 31907
negative_passages.text: Why does N[1.000 01, 10] return 1.00001, but N[1.000 001, 10] returns only 1.?
negative_passages.docid: 37189
negative_passages.text: Exponent of a number is a square root?
negative_passages.docid: 118778
negative_passages.text: What's the inverse operation of exponents?
negative_passages.docid: 14633
negative_passages.text: What's the thing with $\sqrt{-1} = i$
negative_passages.docid: 10313
negative_passages.text: Why Multiplication of zero by any number is zero?
negative_passages.docid: 2802
negative_passages.text: If $2^n+1$ is prime, why must $n$ be a power of $2$?
negative_passages.docid: 2959
negative_passages.text: Prove $0! = 1$ from first principles
negative_passages.docid: 97952
negative_passages.text: Square root of 1 is (not) -1
negative_passages.docid: 134348
negative_passages.text: When is $(p - 1)! + 1$ a power of $p$?
negative_passages.docid: 121767
negative_passages.text: Why $\det(A^{-1}) = 1/\det(A)$?
negative_passages.docid: 27423
negative_passages.text: Why does $\lim_{x\to 0^+} x^{\sin x}=1$?