# Now it comes 11

$\large \color{blue}{11}^{\color{brown}{11}^{\color{green}{11}}}$

What are the last two digits of the number above?

Bonus 1: Can you generalize this for $$\underbrace{11^{11^{11^{.^{.^.{11}}}}} }_{\text{ number of } 11\text{'s }=\, n}?$$

Bonus 2: Try not to use Euler's totient function.

×

Problem Loading...

Note Loading...

Set Loading...