How to show that |Z|^n=|Z^n|?
138360
Exponents and absolute value w/ complex numbers
87665
Proving $x^n - y^n = (x-y)(x^{n-1} + x^{n-2} y + ... + x y^{n-2} + y^{n-1})$
38568
Finding the number of zeros of $f(z) = z^n$ if $|f(z)| < 1 $ for all $z$ with $|z|=1$.
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
126018
Show that $ e^{A+B}=e^A e^B$
134149
$z^n=(z+1)^n=1$, show that $n$ is divisible by $6$.
48211
When is $(a+b)^n \equiv a^n+b^n$?
96152
Showing that $a^n - 1 \mid a^m - 1 \iff n \mid m$
37252
How can I show that $\begin{pmatrix} 1 & 1 \\ 0 & 1\end{pmatrix}^n = \begin{pmatrix} 1 & n \\ 0 & 1\end{pmatrix}$?
52800
Show that $z^5-1=(z-1)(z^2+2z\cos{\pi \over 5}+1)(z^2-2z\cos{2\pi \over 5}+1)$
100375
Prove that ${\sqrt {n} }^{\sqrt {n+1}} > {\sqrt {n+1}}^{\sqrt {n}}$.
35034
Multiplicative inverses for $Z_n$
6722
to show $f$ is a polynomial in $z$
144539
Power series $ f(g(z)) = z $
15089
Big-O: If $f(n)=O(g(n))$, prove $2^{f(n)}=O(2^{(g(n)})$
152039
Prove that $a^{2^n}=1 \mod 2^{n+2}$
115799
Proving $x^{\log n} = n^{\log x}$