# order of operations with many level exponents

I was wondering, what is the order of operations when it comes to multi level exponents. Couldn't find anything in google. Something like:

$$n^{n-1^{n-2^{\cdots^1}}}$$

In this case, if n equals 4, would it be correct to assume that 4^(3^(2^1)) is the correct order? And thus the answer is 262144?

You should include parentheses around the differences, such as $$n^{(n-1)^{(n-2)^{\cdots^1}}}$$
• The most common convention for the "^" is a^b^c=a^(b^c) (or so I've been told: personally I never use it). I can assure you 100% that the standard convention for $a^{b^c}$ is $a^{(b^c)}$. – user228113 Apr 26 '17 at 14:24