Multiplicative Inverse using Fermats theorm

Which of the following is a multiplicative inverse of $11^{23}$ modulo $59$?

• $11^{21}$


• $11^{22}$


• $11^{25}$


• $11^{35}$



• $11^{60}$

I assume that I'm supposed to use Fermat's little theorem in order to show $11^{58}\equiv1\pmod{59}$.

And from there I could probably say that $11^58$ is equal to $11^{29}\times2$, so that's also an inverse.

But I can't see how I get to any of the answers listed.