Doubt Regarding Notation with Exponents.

Question

Consider $a^{b^c}$ without any brackets. My question is, if the brackets are not mentioned, what is the convention regarding the position of the brackets?

Answer 1

The convention is that $a^{b^c}=a^{(b^c)}$. I believe this convention was chosen because the other bracketing, $(a^b)^c$, can easily be written as $a^{bc}$.

Answer 2

@Peter's comments are right; $a^{b^c}=a^{(b^c)}$. This is an unsurprising convention if we look at the MathJax needed to say it, a^{b^c}=a^{(b^c)}.