How do we find the power set of a set? That's what we'll go over in today's set theory video lesson with 4 examples! Remember the power set of a set S is the set P(S) consisting of all subsets of S. Don't forget to include the empty set and the set S itself! Also recall that the cardinality of the power set of S is equal to 2 to the power of the cardinality of S. Lesson on power sets: Why the Empty Set is a Subset of Every Set: Lesson on the power set of the empty set: Formula for Cardinality of Power Sets (2^n): What is the cardinality of a set?: I hope you find this video helpful, and be sure to ask any questions down in the comments! ******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work. Vallow Bandcamp: Vallow Spotify: Vallow SoundCloud: ******************************************************************** +WRATH OF MATH+ ◆ Support Wrath of Math on Patreon: Follow Wrath of Math on... ● Instagram: ● Facebook: ● Twitter: My Music Channel: