Answer
false
Work Step by Step
The set of subsets of {a, e, i, o, u} contains 64 elements
The above statement is false.
The number of subsets of a finite set can be found using the formula $2^{n}$ where n is the number of elements of the set.
Since the given set has 5 elements, then it has $2^{5}$ = 32 subsets.