As in the topic. I have to prove that the functions $x ^ 2$ and $x ^ 3$ are topologically conjugated. I tried to write it out by definition: $f (x ^ 2) = f (x) ^ 3$ and choose $f (x) = x ^ a$, but unfortunately it doesn't work. It's my beginnings in this field, so I do not have much experience yet.
Do you have any hints?