\((((\sqrt[n]{n}^{\sqrt[n]{n}})^{\sqrt[n]{n}})^{\displaystyle\overbrace\cdots^{n+1 \; times}})^{\sqrt[n]{n}}\)=? Total n+1 times of \sqrt[n]{n} power.....
Is it n? ;)
Let the original expression = y
y = \(\sqrt[n]{n}^{\overbrace{\sqrt[n]{n}\times\cdots \sqrt[n]{n}}^{\text{ n times}}}=\sqrt[n]{n}^n=n\)
It is n.
