Definition or proof of $a^{\frac mn}=\sqrt[n]{a^m}$?
7801
Can you raise a number to an irrational exponent?
102398
Help deriving that $\mathrm{sign} : S_n\to \{\pm 1\}$ is multiplicative
137422
$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?
52427
Prove, $\sqrt{n} \le (n!)^\frac{1}{n} \le \frac{n+1}{2} $
20504
$\forall m,n \in \Bbb N$ : $\ 56786730\mid mn(m^{60}-n^{60})$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
136403
Prove that $\sqrt{a}\leq\frac{1+a}{2}$
148163
Show that if m/n is a good approximation of $\sqrt{2}$ then $(m+2n)/(m+n)$ is better
109103
Proof that $\lim_{m\to\infty}(1+\frac{r}{m})^{mt}=e^{rt}$
1859
Proving $\arctan(\sqrt{x^2+1}-x)=\frac{\pi}{4}-\frac{1}{2}\arctan(x)$
103572
Does $\sum_{m=1}^{\infty}\sum_{n=1}^{\infty}a_{mn}^3=\sum_{n=1}^{\infty}\sum_{m=1}^{\infty}a_{mn}^3$ occur here?
141837
Proof of $\sup\{ (n!)^{(\frac{1}{n})}| n ∈ N\} = +∞?$
88425
Prove that $\,\sqrt [n] n < 1 + \sqrt{\frac{2}{n}}\,$
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
31555
Divisor of $m$ and $n$ divides $m - qn$ (in proof of Euclidean algorithm)
113628
Where M is a matrix calculate a formula for M^n
157711
Number Theory: Prove that $m | \phi(a^m - 1)$