Question

State the reason for the following Binary operation *, defined on the set Z of integers, to be not commutative. a * b = ab³.

Answer 1

We have 1, 2 ∈ Z such that

1 * 2 = 8

2 * 1 = 2

This implies that

1 * 2 ≠ 2 x 1

Hence * is not commutative.