Chapter 14 Cardinality - The Book of proof by Richard Hammack Prove or disprove that the cardinality of Q = the cardinality of Q^200, where Q is the set of rational numbers. I understand the set Q of rational numbers is countably infinite, and also that the set Q^200 is countably infinite, how do I prove that, cardinality of Q = the cardinality of Q^200 also noted as |Q| = |Q^200|.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.