Question

Let $\ast$ be a binary operation on the set of natural numbers N defined by a$\ast$b = $a^b$ for all a and b $ϵ$ N , then $\ast$ is

• A. associative
• B. commutative
• C. associative and commutative
• D. not commutative

Answer 1

The correct option is D

not commutative

$a^b\ne b^a$ for some a, b $ϵ$ N

$\Rightarrow$ not commutative