Is it possible to compute $x^{1389}+(1/x)^{1389}$ from some premises?
132169
$x^{2000} + \frac{1}{x^{2000}}$ in terms of $x + \frac 1x$.
95033
Find the remainder of a number with a large exponent
121071
Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
7868
Computing limit of $(1+1/n)^{n^2}$
4573
Explicitly finding the sum of $\arctan(1/(n^2+n+1))$
9414
Is There a Natural Way to Extend Repeated Exponentiation Beyond Integers?
17609
Finding the remainder of $11^{2013}$ divided by $61$
125719
Multiplicative inverse of a complex number.
99502
Question on the coefficients of $(1+x+x^2+x^3+x^4)^{496}$
96875
Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$
100759
Extending exponentiation to reals
141704
Fractional exponentiation in modular arithmetic
56048
Limit at infinity of $x^{1/x}$
132525
Real Numbers Raised to Imaginary Powers?
82311
Computing the primitive $\int\frac{1}{1+x^n} dx$
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
119433
How to find modulo of large numbers like $9801\! \pmod {\!32}$