New posts in Exponentiation

Hard inequality :$\Big(\frac{1}{a^2+b^2}\Big)^2+\Big(\frac{1}{b^2+c^2}\Big)^2+\Big(\frac{1}{c^2+a^2}\Big)^2\geq \frac{3}{4}$

The units digit of a power tower of consecutive numbers, from 2019 to 1

How does $a^{a^n}$ compare with $n!$ asymptotically?

Find $n$ if $\frac{9^{n+1}+4^{n+1}}{9^n+4^n} = 6$

$n^n<(n-1)^{n+1}$ for integer $n\ge5$

Prove $0.9999^{\!101}<0.99<0.9999^{\!100}$

Why do the factorials appear in differences of consecutive powers?

Approximate solution: factorial and exponentials

Why $(-2)^{2.5}$ isn't equal to $((-2)^{25})^{1/10}$?

Solving $\log_6(2x-3)+\log_6(x+5)=\log_3x$