If an operation is defined by a*b=`a^2+b^2,` then (1*2)*6 is

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**b = a^b then 4**2 is equal to:

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

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

On Z an operation * is defined by a*b=a^(2)+b^(2) for all a,b in Z .The operation* on Z is commutative and associative associative but not commutative (c) not associative (d) not a binary operation

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

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.

If the binary operation * on Z is defined by a*b=a^(2)-b^(2)+ab+4, then value of (2*3)*4 is 233( b ) 33 (c) 55 (d) -55

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