This is an assigned question I have, and I'm not sure how to interpret the R-like symbol in the exponent position. Does it mean the Turing machine should accept variable numbers of repetitions of w?
The notation wR probably means “w reversed.” The problem most likely asks that the Turing machine shall, if it starts with a word w on its tape, append a #
and then w reversed. Afterwards, it shall accept (i.e. terminate). For instance, if the tape contains example
in the beginning, it should contain example#elpmaxe
after the Turing machine ran.