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

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot Show that * is both commutative and associative.

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

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' commutative on N ?

Let * be a binary operation, on the set of all non-zero real numbers, given by a*b=(a b)/5 for all a ,\ b in R-{0} . Write the value of x given by 2*(x*5)=10 .

Let *, be a binary operation on N, the set of natural numbers defined by a*b = a^b , for all a,b in N . is * associative or commutative on N?