Let `'*'` be a binary operation on `Q_0` (set of all non-zero rational numbers) defined by `a*b=(a b)/4` for all `a , b in Q_0dot` Then, find the identity element in `Q_0` inverse of an element in `Q_0dot`

Let * be a binary operation on Q_0 (set of non-zero rational numbers) defined by a*b=(3a b)/5 for all a , b in Q_0dot Find the identity element.

Let t be a binary operation on Q_(0)( set of non- zero rational numbers) defined by a*b=(3ab)/(5) for all a,b in Q_(0) Find the identity element.

Let ** be a binary operation on QQ_(0) (Set of all non-zero rational numbers) defined by a**b=(ab)/(4),a,binQQ_(0) . The identity element in QQ_(0) is e , then the value of e is--

A binary operation ** is defined in QQ_(0) , the set of all non-zero rational numbers, by a**b=(ab)/(3) for all a,binQQ_(0) . Find the identity element in QQ_(0) . Also find the inverse of an element x in QQ_(0) .

Let * be a binary operation on Q_0 (set of non-zero rational numbers) defined by a*b= (3a b)/5 for all a ,\ b in Q_0 . Show that * is commutative as well as associative. Also, find the identity element, if it exists.

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

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

A binary operation ** is defined on the set RR_(0) for all non- zero real numbers as a**b=(ab)/(3) for all a,binRR_(0), find the identity element in RR_(0) .

Let 'o' be a binary operation on the set Q_0 of all non-zero rational numbers defined by a\ o\ b=(a b)/2 , for all a ,\ b in Q_0 . Show that 'o' is both commutative and associate (ii) Find the identity element in Q_0 (iii) Find the invertible elements of Q_0 .