To multiply to disjoint cycles, you look at where the preceeding permutation takes the element you are looking at.
So, for example,
and all the rest are kept as they are, and so etcetera.
Does that make sense?
Now, to find the inverse of a (single) disjoint cycle, you should notice that if then you want in the inverse. This is equivalent to keeping the first element fixed and flipping all the others round,
Now, does that make sense?
It is now your task to apply all this to your question!