Verify the
Closure property

Verify (i) closure property (ii) commutative property and (iii) associati ve property of the following operation on the given set. (a•b) = a^(b) , forall a, b in NN (exponentiation property )

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation +_(5) on ZZ_5 using table corresponding to addition modulo 5.

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation xx_(11) on a subset A = {1,3,4,5,9} of the set of remainders {0,1,2,3,4,5,6,7,8,9,10}.

Verify (i) closure property (ii) commutative property (iii) associate property (iv) existence of identity and (v) existence of inverse for the opertion xx 11 on a subset A = {1 , 3 , 4 , 5 , 9} of the set of the remainders { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}.

Let S be [1], [2], [3], [4], [5], [6] = Z_(7)-[0] *" be "xx_(7) verifty Closure property

Verify the Commutative property