Hello, boomshine57th!

Is the binary operation defined for real numbers by: . ?

If are any real numbers, then: . is a real number.

The operationdefined for real numbers.is

Is it commutative?

If the operation is commutative, then: .

We have: .

Since , the operationcommutative.is

Is it associative?

If the operation is associative, then: .

We have: . not equal

The operation isassociative.not