[tex]\bf \begin{array}{llll} 1^2\implies 1\cdot 1\implies &1\\\\ 1^3\implies 1\cdot 1\cdot 1\implies &1\\\\ 1^{100}\implies \stackrel{\textit{100 times}}{1\cdot 1...}\implies &1\\\\ 1^{1000000}\implies \stackrel{\textit{a million times}}{1\cdot 1....}\implies &1\\\\ 1^{x}\qquad \{x|~~x\in \mathbb{Z}\}\implies &1 \end{array}[/tex]