Write the composition table for the binary operation multiplication modulo `10\ (xx_(10))` defined on the set `S={1,\ 3,\ 7,\ 9}` .

Write the composition table for the binary operation multiplication modulo 10(xx_(10)) on the set S={2,4,6,8}

Write the composition table for the binary operation xx5 (multiplication modulo 5) on the set S={0,1,2,3,4}.

For the binary operation multiplication modulo 5(xx5) defined on the set S={1,2,3,4} Write the value of (3xx_(5)4^(-1))^(-1)

Write the multiplication table for the set of integers modulo 5.

Write the inverse of 5 under multiplication modulo 11 on the set {1, 2, ....., 10}.

Construct Caley's table for the set {0,1,2,3,4} under multiplication modulo 6.

Construct the composition table for +5 on set S={0,1,2,3,4}

Construct the composition table for xx_(4) on set S={0,1,2,3}.

Consider the set S={1,-1} of square roots of unity and multiplication (x) as a binary operation on S .Construct the composition table for multiplication (xx) on S Also,find the identity element for multiplication on S and the inverses of various elements.