For any elements a and to from a group and any integer n, prove that (a^-1ba)^n=a^-1b^na.

Suman Cole

Suman Cole

Answered question

2020-11-07

For any elements a and to from a group and any integer n, prove that (a1ba)n=a1bna.

Answer & Explanation

doplovif

doplovif

Skilled2020-11-08Added 71 answers

This is a direct computation: (a1ba)n=(a1ba)(a1ba)(a1ba)}n times
=a1b(aa1)b(aa1)...ba=a1bebe...ba=a1(bbb)n×)a=a1bna
This is just a durect computation

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