Write a recursive function power ( base, exponent) that when invoked returns
baseexponent
for example, power( 3,4) = 3*3*3*3. assume that exponent is an integer greater than or equal
to 1. hint: the recursion step would use the relationship
baseexponent = base * baseexponent? 1
and terminating condition occurs when exponent is equal to 1 because
base1 = base

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Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?