Integral Power of an element of a Group in Discrete Mathematics

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In this video on "Integral Power of Group Elements in Discrete Mathematics"! In this short and informative video, we demystify the concept of raising elements in a group to integral powers.
In discrete mathematics and group theory, the concept of raising an element of a group to an integral power is straightforward. Let's break it down:
Given a group (G, ), where G is the set of elements and * is the binary operation defined on G, and an element "a" in the group, raising "a" to an integral power "n" involves repeatedly applying the group operation "":
If n is a positive integer, you can compute a^n as follows:

a^n = a * a * a * ... * a (n times)

If n is zero, a^0 is defined as the identity element "e" of the group:

a^0 = e

If n is a negative integer, you can compute a^n by taking the inverse of "a" and raising it to the positive power (-n):

a^n = (a^(-1))^(-n)

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