What is the last digit of $2023^{2024^{00252^{206^{2027}}}}$
On a $2023^{2024^{2005^{20252^{2027}}}} \equiv 3^{2024^{20255^{206^{2027}}}} \equiv 3^{(4 \cdot 506)^{n>0}} \equiv\left(3^{4}\right)^{506^{n}} \equiv 1[10]$ with $n=2025^{2026^{2027}}$