If a binary operation is defined by `a**b = a^b` then `4**2` is equal to:

If a binary operation is defined by a**b=a^(b) , then 3**2 is equal to :

If a binary operation is defined by a ast b = a + b then (3 ast 2) ast 4 is equal to: (a) 4 (b) 2 (c) 9 (d) 8

If a binary operation * is defined by a*b=a^(2)+b^(2)+ab+1, then (2*3)*2 is equal to (a) 20 (b) 40(c)400(d)445

On Q, the set of all rational numbers a binary operation * is defined by a*b=(a+b)/(2) Show that * is not associative on Q.

On the set Z of integers,if the binary operation * is defined by a*b=a+b+2 then find the identity element.

Consider the binary operation on Z defined by a ^(*)b=a-b . Then * is

On the set Z of all integers a binary operation * is defined by a*b=a+b+2 for all a,b in Z. Write the inverse of 4.

Let * be a binary operation defined by a*b=3a+4b-2. Find 4^(*)5

IF ** is the operation defined by a** b=a^(b) for a, b in N , then (2**3)**2 is equal to

Let * be a binary operation on N defined by a*b = a^(b) for all a,b in N show that * is neither commutative nor associative