Question

the Inverse of the product of two element is the product of the Inverse in reverse order​

Answer 1

Given-:

The Inverse of the product of two element is the product of the Inverse in reverse order?

To Find-:

Inverse of the product of two element is the product of the Inverse in reverse order

Answer-:

The inverse of the inverse of an element is the element itself. (iv) If a, b ∈ G then (ab)−1 = b−1a−1. That is the inverse of a product is the product of the inverses in reverse order. (iii) If a ∈ G then since aa−1 = a−1a = e then a is an inverse of a−1.

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@Answered by Its Spidey

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