Tower Of Twos
Let \(T(n)\) be the tower of powers of \(2\) of height \(n\). For example:
\(T(3) = 2^{2^2} = 2^4 = 16\)
\(T(4) = 2^{2^{2^2}} = 2^{16} = 65536\)
So the last digit of \(T(4)\) is \(6\).
| Part A | Determine the last two digits of \(T(100)\). | |
|---|---|---|
| Part B | Determine the remainder when \(T(2021)\) is divided by \(2021\). |