How to prove $x^ax^b = x^{a+b}$
102717
Real analysis of powers
3109
Prove that $(p+q)^m \leq p^m+q^m$
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
49217
How do I show that $a^p + b^p > (a + b)^p$ for $a,b>0$ and $0<p<1$?
106308
how do you solve $x^x=x$
111267
Prove that: $2^a+3^b<3a+4b$
20878
If $(a,b)=1$ then prove $(a+b, ab)=1$.
36314
If $Ax = Bx$ for all $x \in C^{n}$, then $A = B$.
140167
Proving $A+A'B=A+B$ without truth tables
60006
Matrix equation: $A−A(A + B)^{−1}A = B−B(A + B)^{−1}B$
29462
Suggestions on how to prove the following equality. $a^{m+n}=a^m a^n$
33944
Describe $\mathbb{R}[x]/(x^{2}+ax+b)$ where $a,b \in \mathbb{R}$
28003
How to prove $A+ A^T$ symmetric, $A-A^T$ skew-symmetric.
55018
Prove that $A^*A + I$ is invertible
56612
Proof of $\gcd(a,b)=ax+by\ $ [Bezout's identity]
136304
Prove: $2^b-1\mid{}2^a-1 \iff b\mid{}a$
118467
Prove that $a^2+ab+b^2\ge 0$