# What is 1/39 written as a negative exponent other than -1? (i.e. Not 39^-1)

As far as I am aware, there is no other way to write $\frac{1}{39}$ using an exponent and $39$ other than ${39}^{-} 1$.
You could write is as ${\left({39}^{-} 2\right)}^{\frac{1}{2}} = \sqrt{\frac{1}{39} ^ 2} = \frac{1}{39}$.
However, if you simplified that, it would still be ${39}^{-} 1$.