Why the last digit of $a^n$ is equal to the last digit of $a$ raised to power of $n$?
111962
Do the last digits of powers of a number $n$ follow the same cycle as the last digits of the number $n$'s last digit's powers?
41411
How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$
48211
When is $(a+b)^n \equiv a^n+b^n$?
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
1478
An inequality for powers of reals: $a^{1/n}-b^{1/n}<(a-b)^{1/n}$
5037
Find the last two digits of $3^{45}$
71432
What does the expression $1^n$ mean as a function argument?
46751
Power rule step. Where does equation of the difference of two numbers raised to the same power come from?
51826
Last digits number theory. $7^{9999}$?
103223
If $x^a$ is $x$ multiplied $a$ times, then how does $x^{-1}$ make sense?
73553
How is $a_n=(1+1/n)^n$ monotonically increasing and bounded by $3$?
82913
Is this a proof of Fermat's Last Theorem where n = 3?
98163
Question regarding exponentiation of cardinal numbers
55437
When does $2^{n}$ divide $3^{n}-1$
9105
Finding the last two digits $123^{562}$
52542
For which odd positive integer $n$ , is it true that $-1$ is not a positive power of $2$ modulo $n$?
154133
Flawed proof by induction that $a^{n-1}=1$