A is a non empty set and let*be a binary operation an P(A)the prower set of A defined by `X**Y=XcapY` for X,`YinP(A)`(ii)Show that * is associative.

A is a non empty set and let*be a binary operation an P(A)the prower set of A defined by X**Y=XcapY for X, YinP(A) (i) Show that A*B=B* A for A, BinP(A)

Consider the binary operation ast on the set R of real numbers, defined by aastb=a b /4 Show that ast is commutative and associative.

*be a binary operation on Q,defined as a**b=(3ab)/5 .Show that * is associative.

Let ast be a binary operation on the set Q of rational numbers defined by aastb=frac(ab)(3) . Check whether ast is commutative and associative?

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

Let A=NtimesN and ast be a binary operation on A defined by (a,b)*(c,d) = (a + c,b + d) Prove that ast is associative

Let * be the binary operation on N given by x*y=LCM of x,y.Find 9*5?

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find 2ast6 and 6ast2 .

Let A=N xx N and let * be a binary operation on A defined by (a, b) * (c, d) = (a c, b d) show that (i) ( A ,*) is associative (ii)( A ,*) is commutative

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a-b . Check whether * is commutative and associative