At a baseball game gina purchased 6 hotdogs and 3 nachos for $24. frank purchased 8 hotdogs and 1 nacho for $23. how much is one hotdog and one nacho?

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.