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 * 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 S be the set of all rational numbers except 1 and * be defined on S by a*b=a+b-a b , for all a , b in Sdot Find its identity element

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 Ndot Is '*' commutative on N ?

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 (i)Find the identity element in Zdot (ii) Find the invertible elements in Zdot

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 '*' associative or commutative on N ?

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?