Homework SourseAbstract Algebra Ordinary exponentiation of integers has a r
Abstract Algebra. Ordinary exponentiation of integers has a right-sided identity, but not a true identity. (a^1=a but 1^a=1) Name another operation with the same flaw, and briefly explain.
Abstract Algebra. Ordinary exponentiation of integers has a right-sided identity, but not a true identity. (a^1=a but 1^a=1) Name another operation with the same flaw, and briefly explain.
Solution
The reason for the quoted example is that exponentiation is not commutative i.e. 23 = 8, while 32 = 9 so that 23 32. Another example is 10 = 1 but 01 = 0.
