Define Binary Operation.

Define a binary operation on a set

Define a binary operation on a set.

Define a binary operation on a set.

Determine whether * on N defined by a*b=a^(b) for all a,b in N define a binary operation on the given set or not:

Determine whether * on N defined by a*b=a+b-2 for all a,b in N define a binary operation on the given set or not:

Determine whether * on N defined by a*b=a+b-2 for all a ,\ b in N define a binary operation on the given set or not:

Determine whether * on N defined by a*b=a^b for all a ,\ b in N define a binary operation on the given set or not:

Determine whether O on Z defined by aOb=a^(b) for all a,b in Z define a binary operation on the given set or not:

^ prime O' on N defined by ab=a^(b)+b^(a) for all a,b in N define a binary operation on the given set or not:

:' on Q defined by a*b=(a-1)/(b+1) for all a,b in Q define a binary operation on the given set or not: