A positive integer n is a sqube if n is both a perfect square and a perfect cube. The integer 1 is the trivial sqube. The smallest non-trivial sqube is 64: 64=8^2=4^3. a)Find two squbes larger than 64 b)What is wrong with the following algebraic definition of a sqube: An integer n is a sqube if there exists an integer k such that n = k^2 and n = k^3. c)Give an algebraic definition of a sqube

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.