Proofs for $0^0 =1$?
14150
Zero to the zero power – is $0^0=1$?
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
41300
Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
2959
Prove $0! = 1$ from first principles
75387
A proof that $1=2$. May I know why it’s false?
96327
Show that $a^x+b^x+c^x>(a+b+c)^x$ for all $a,b,c>0$ and $0<x<1$
106868
Prove that $x+\frac1{4x} ≥ 1$ for $x>0$
76925
Algebraic proof that if $a>0$ then $1+a^9 \leq \frac{1}{a}+a^{10} $
69131
Different proofs of $\,a^n-b^n =(a-b)\sum_{i=0}^{n-1} a^i b^{n-1-i} $?
125707
A simple proof (hopefully) for $2^x \neq 0$
12402
Showing a function on $[0,1]$ is the zero function
149287
Prove that $A,B>0$ and $A_{ij}0$
51465
New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
153123
Proving by induction $4^n  0$
61673
Could I define 0^0 to be 1?
20626
Prove that $x^y < y^x$
122737
How to understand why $x^0 = 1$, where $x$ is any real number?