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Binary Operations

Question

Let $$Z^+$$ be the set of all positive integers. Then, the operation $$\star$$ on $$Z^+$$ defined by $$a^{\star} b=a^b$$ is?

A

Commutative but not associative

B

Associative but not commutative

C

Neither commutative nor associative

D

Both commutative and associative

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Solution

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Correct option is C. Neither commutative nor associative

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