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

Let t be a binary operation,on the set of all non-zero real numbers,given by a*b=(ab)/(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 the set Q of all rational number given as a*b= (2a-b)^(2) for all a,b in Q find 3*5 and 5*3 Is 3*5=5*3?

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 N, the set of natural numbers defined by a*b = a^b, for all a,b in N. 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 Ndot Is '*' associative or commutative on N ?

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 .

Let R be the relation on the set R of all real numbers defined by a Rb Iff |a-b|<=1 Then R is

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