" (v) "" On "Z^(+)," define "*" by "a*b=a

For each binary operation '**' defined below, determine whether '**' is commutative and whether '**' is associative : (vi) On Z^(+) , define '**' by a**b=a^(b)

For each binary operation '**' defined below, determine whether '**' is commutative and whether '**' is associative : (v) On Z^(+) , define '**' by a**b=2^(ab)

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , define '*' by a * b = a-b

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = a - b

Determine whether or not each of the definition of ** given below gives a binary operation. In the even that ** is not a binary operation , give justification for this . On Z^(+) , define ** by a" * " b = |a-b|

For each binary operation '*' defined below, determine whether '*' is commutative and whether '*' is associative. On Z^+ , define * by a * b = a^b

For each binary operation '*' defined below, determine whether '*' is commutative and whether '*' is associative. On Z^+ , define * by a * b = 2^(ab)

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , define'*' by a * b = ab

Determine whether or not each of the definition of '*' given below gives a binary operation. In the event that '*' is not a binary operation, give justification for this: On Z^+, define * by a * b = a - b

Determine whether or not each of the definitions of ** given below gives a binary operation. In the event that ** is not a binary operation, give justification for this on Z^+ , define ** by a**b=a-b