Why $x^p - \alpha^p = (x - \alpha)^p$?
46429
Question about proof that $(a + b)^p = a^p+b^p$ in a field of characteristic $p$.
157087
Can anyone explain why $a^{b^c} = a^{(b^c)} \neq (a^b)^c = a^{(bc)}$
146093
Why if $n \mid m$, then $(a^n-1) \mid (a^m-1)$?
109778
Proving $(x-c)|(p(x)-p(c))$
106934
$x^x=y$. How to solve for $x$?
129331
Prove that $|x^p - y^p| \le p|x-y|(x^{p-1} + y^{p-1})$ provided that $1 \le p \lt \infty$ and $x, y \ge 0$
34430
Why does $(\frac{p-1}{2}!)^2 = (-1)^{\frac{p+1}{2}}$ mod $p$?
157309
Does $P(A\cap B) + P(A\cap B^c) = P(A)$?
72410
If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
134348
When is $(p - 1)! + 1$ a power of $p$?
69187
What's my confusion with the chain rule? (Differentiating $x^x$)
60769
How to solve x^x = const?
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
118212
Is it true that $A^A\simeq P(A)$?
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
151356
Need Hints Prove "$((\neg \alpha \to \alpha) \to \alpha) $" Using Axiom 1,2,3 and MP and deduction theorem
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$