underbrace in superscript exponentiation

Question

So I have this latex code

\underbrace{
  a^{\frac{1}{n}} \cdot a^{\frac{1}{n}} \cdot \ldots \cdot a^{\frac{1}{n}}
}_{n\text{-times}}} = 
a^{
  \underbrace{
    \frac{1}{n} + \frac{1}{n} + \ldots + \frac{1}{n}
  }_{n\text{-times}}
} =
a^{1} = a

that renders in this formula: enter image description here

but as you can see the second summation in the exponent is rendered too big.

How to typeset it correctly?

I believe something very similar has already appeared: \underbrace{\scriptstyle...}_{n\text{ times}} (no hyphen, in my opinion). — egreg, Mar 03 '15 at 18:04
Does Heiko's solution to http://tex.stackexchange.com/questions/155043/how-to-avoid-change-of-textsize-when-using-underbrace satisfy you? — egreg, Mar 03 '15 at 18:07

score 1 · Answer 1 · answered Mar 03 '15 at 18:20

So adding \scriptstyle does the trick (thanks to @egreg):

\underbrace{
  a^{\frac{1}{n}} \cdot a^{\frac{1}{n}} \cdot \ldots \cdot a^{\frac{1}{n}}
}_{n\text{-times}}} = 
a^{
  \underbrace{\scriptstyle{
    \frac{1}{n} + \frac{1}{n} + \ldots + \frac{1}{n}}
  }_{n\text{-times}}
} =
a^{1} = a

enter image description here

underbrace in superscript exponentiation

1 Answers1