Find the Power Set (5,7)

Problem

𝒫*({5,7})

Solution

1. Identify the elements of the given set S={5,7}

2. Determine the number of elements in the power set using the formula 2 where n is the number of elements in the original set.

3. Calculate the total number of subsets: 2=4

4. List all possible subsets of S including the empty set ∅ and the set itself.

5. Combine these subsets into a single set to form the power set.

Final Answer

𝒫*({5,7})={∅,{5},{7},{5,7}}

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