compute_power(x) that calculates the power of a number x using the given transformation rules.powers to store tuples of the form (power, number).[lo, hi] and compute its power using compute_power(x).(computed_power, number) to the powers list.powers list by the first element of each tuple (the power) and use the second element (the number) as a tiebreaker.kth tuple in the sorted powers list.