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Write a java program that has three static recursive methods and a main method. In your main method prompt for user input and display the results of each of your recursive methods as shown in the sample output below. a) Write a method that uses recursion to compute the value of a^n, where a and n are both integer arguments to the method. If n = 0, the method should return 1 as a^0 = 1. If n = 1, the method should return a as a^1 = a. If n is any other number ... that's for you to determine but remember, a^n = a x a^(n-1). b) Write a method that uses recursion to return the reverse of a String that is passed to the method as an argument. Hint: For base cases, consider a string that has 1 or fewer characters...how much work is there to reverse them? Otherwise a reversed string is the last letter of the original string plus the reverse of the rest. Try it out on paper first. c) Write a recursive method that determines the number of digits in an integer, n. Hint: If n