determine whether the given set is the power set of some set. If the set is a power set, give the set of which it is a power set.
-$\{ \emptyset , \{ \emptyset \} , \{ a \} , \{ \{ a \} \} , \{ \{ \{ a \} \} \} , \{ \emptyset , a \} , \{ \emptyset , \{ a \} \} , \{ \emptyset , \{ \{ a \} \} \} , \{ a , \{ a \} \} , \{ a , \{ \{ a \} \} \} , \{ \{ a \} , \{ \{ a \} \} \}$, $\{ \emptyset , a , \{ a \} \} , \{ \emptyset , a , \{ \{ a \} \} \} , \{ \emptyset , \{ a \} , \{ \{ a \} \} \} , \{ a , \{ a \} , \{ \{ a \} \} \} , \{ \emptyset , a , \{ a \} , \{ \{ a \} \} \} \}$

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The Answer of determine whether the given set is the power set of some set. If the set is a power set, give the set of which it is a power set.
-$\{ \emptyset , \{ \emptyset \} , \{ a \} , \{ \{ a \} \} , \{ \{ \{ a \} \} \} , \{ \emptyset , a \} , \{ \emptyset , \{ a \} \} , \{ \emptyset , \{ \{ a \} \} \} , \{ a , \{ a \} \} , \{ a , \{ \{ a \} \} \} , \{ \{ a \} , \{ \{ a \} \} \}$, $\{ \emptyset , a , \{ a \} \} , \{ \emptyset , a , \{ \{ a \} \} \} , \{ \emptyset , \{ a \} , \{ \{ a \} \} \} , \{ a , \{ a \} , \{ \{ a \} \} \} , \{ \emptyset , a , \{ a \} , \{ \{ a \} \} \} \}$

Determine Whether the Given Set Is the Power Set of Some