What is the result of $2^{{2}^{{2}^{{2}^{0}}}}$?

Question

It seems simple but I don't understand it.

Edit: Whoever is down-voting, please leave a comment as to why...

Possible duplicate of What is the order when doing $x^{y^z}$ and why? — epimorphic, Feb 16 '17 at 07:59

score 9 · Answer 1 · answered Jan 15 '17 at 20:25

9

$$2^0=1$$ $$2^{2^0}=2^1=2$$ $$2^{2^{2^0}}=2^2=4$$ $$2^{2^{2^{2^0}}}=2^4=16$$

answered Jan 15 '17 at 20:25

Tom

score 5 · Answer 2 · answered Jan 15 '17 at 20:23

5

$2^{2^{2^{2^0}}}$ = $2^{2^{2^{1}}}$ = $2^{2^{2}}$ = $2^{4}$ = 16

answered Jan 15 '17 at 20:23

Saketh Malyala

score -1 · Answer 3 · answered Feb 15 '17 at 20:50

-1

$2^{2^{2^{2^0}}} =2^4 =16$. Just gave the answer.

answered Feb 15 '17 at 20:50

William Zlacki

3 Answers3