query: Why is $a^0=1$ and not $0$?
positive_passages.docid: 96554
positive_passages.text: Why is $x^0 = 1$ except when $x = 0$?
negative_passages.docid: 33705
negative_passages.text: Is $0$ a natural number?
negative_passages.docid: 55373
negative_passages.text: The difference between 0. and 0
negative_passages.docid: 70585
negative_passages.text: Why does Assuming[x > 0, TrueQ[x > 0]] return False?
negative_passages.docid: 121663
negative_passages.text: If $a$ is a zero divisor of $\mathbb{F}$, then does $a$ fail to have a multiplicative inverse?
negative_passages.docid: 44843
negative_passages.text: What is the difference between $|0\rangle $ and $0$?
negative_passages.docid: 44799
negative_passages.text: Why is the even root of a number always positive?
negative_passages.docid: 31783
negative_passages.text: Is this proof of $ab = 0$ correct?
negative_passages.docid: 71604
negative_passages.text: Why is the determinant of the 0x0 matrix equal 1?
negative_passages.docid: 154133
negative_passages.text: Flawed proof by induction that $a^{n-1}=1$
negative_passages.docid: 43834
negative_passages.text: Simple Complex Number Problem: $1 = -1$
negative_passages.docid: 151806
negative_passages.text: Prove that $A^k = 0 $ iff $A^2 = 0$
negative_passages.docid: 12694
negative_passages.text: Why does $a^n - b^n$ never divide $a^n + b^n$?
negative_passages.docid: 77764
negative_passages.text: Is "$a + 0i$" in every way equal to just "$a$"?
negative_passages.docid: 13012
negative_passages.text: Why can a = b imply 2 = 1?
negative_passages.docid: 41300
negative_passages.text: Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
negative_passages.docid: 15908
negative_passages.text: Is it true that $\int_{a}^b h^2=0\implies h=0$?