Let * be a binary operation o Q defined by a*b= `(ab)/4` for all a,b`in` Q ,find identity element in Q

On the set Q^+ of all positive rational numbers if the binary operation * is defined by a * b = 1/4ab for all a,b in Q^+ find the identity element in Q^+ .

On Q,the set of all rational numbers,a binary operation * is defined by a*b=(ab)/(5) for all a,b in Q. Find the identity element for * in Q Also,prove that every non-zero element of Q is invertible.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

On Q, the set of all rational numbers, a binary operation * is defined by a*b=(a b)/5 for all a , b in Qdot Find the identity element for * in Q. Also, prove that every non-zero element of Q is invertible.

Let ^(*) be a binary operation on set Q-[1] defined by a*b=a+b-ab for all a,b in Q-[1]. Find the identity element with respect to * on Q. Also,prove that every element of Q-[1] is invertible.

Let Q be the set of Rational numbers and ' ast ' be the binary operation on Q defined by ' aastb=frac(ab)(4) ' for all a,b in Q. What is the identity element of ' ast ' on Q?

Let ^(*) be a binary operation on Q-{0} defined by a*b=(ab)/(2) for all a,b in Q-{0} Prove that * is commutative on Q-{0}

Let * be a binary operation on Q-{0} defined by a*b=(a b)/2 for all a ,\ b in Q-{0} . Prove that * is commutative on Q-{0} .

Let Q be the set of Rational numbers and ' ast ' be the binary operation on Q defined by ' aastb=frac(ab)(4) ' for all a,b in Q. Find the inverse element of ' ast ' on Q.