Consider the ninary operation ""^(**) on...

Consider the ninary operation `""^()` on N defined by `a^()b="HCF"` of a and b. Examine, if
`""^(**)` is associative

Verified by Experts

The correct Answer is:

`a^(**)(b^(**)c)`

Similar Questions

Explore conceptually related problems

Consider the ninary operation ""^(**) on N defined by a^(**)b="HCF" of a and b. Examine, if ""^(**) is commutative

Consider the binary operation ""^(**) on N defined by a^(**)b="LCM" of a and b. Examine, if ""^(**) is associative

Consider the binary operation ""^(**) on N defined by a^(**)b="LCM" of a and b. Examine, if ""^(**) is commutative

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is associative

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is commutative

Consider the binary operations ""^(**):RxxRtoR and o:RxxR defined by a^(**)b=|a-b| aob=a, AA a,b in R Examine, if o distributes over ""^(**) .

Let ""^(**):QxxQtoQ is defined by a^(**)b=1+ab,AA a,b in Q . Show that ""^(**) is commutative, but not associative.

The binary opertion ** R xx R to R is defined by a ** b = 2a + b. find (2 ** 3) **4.