Let * be the binary operation defined on $R$ by $a^* b=\frac{a^* b}{4}$, for every $a, b \in R$, the

Question

Let * be the binary operation defined on $R$ by $a^* b=\frac{a^* b}{4}$, for every $a, b \in R$, then the operation * is

Professor PC Thomas Classes · Answer

Operation is symmetric and maintains associativity.