Evaluate $a^n$ using the binary expansion of $n$
45014
Modular exponentiation by repeated squaring
111779
Ordinary generating function for $\binom{3n}{n}$
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
133420
Computing the binomial series: $\binom{n}{2}\cdot2^2+\binom{n}{4}\cdot2^4+\binom{n}{6}\cdot2^6+\cdots+ \binom{n}{n}\cdot2^n$
50041
Significance of $\sqrt[n]{a^n} $?!
20504
$\forall m,n \in \Bbb N$ : $\ 56786730\mid mn(m^{60}-n^{60})$
8366
Proof of $a^n+b^n$ divisible by $a+b$ when $n$ is odd
104056
Finding element in binary representation of $GF(2^6)$
31173
How to show $(a^b)^c=a^{bc}$ for arbitrary cardinal numbers?
62177
Prove that: $2^n < n!$ Using Induction
122800
Let $a > 0$ and let $k \in \mathbb{N}$. Evaluate the limit
29578
Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?
360
Modular exponentiation by hand ($a^b\bmod c$)
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$
126214
Multiplying Binomial Terms
75373
Show that $2^n>n$ for $n\in \mathbb{N}$