Determine whether the definition of * does give a binary operation on the set. If it is a binary operation, determine whether if is commutative and associative. On Z, define * by a*b=a^b
2026-03-26 14:33:05.1774535585
Abstract Algebra - Binary Operation
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Hint:
Some examples of an integer raised to another integer exponent include (but are not limited to) the following:
$$2^3, 3^2, 1^0, (-2)^4, 3^{(-2)}, 0^0, \dots$$
Also of interest are $3^{(3^3)}$ and $(3^3)^3$