Determine if the following binary operators are commutative

Determine if the following binary operators are commutative: com

Solution

For commutative, following should be true: a*b = b*a

Now, a*b = 2^ab  .....(i)

and b*a = 2^ba = 2^ab.....(ii)

clearly equation (i) is equal to equation (ii) thus, the given binary operator is Commutative.