“For any elements @ and b from a group and any integer n, prove thal (a−1ba)n=a−1bna

midtlinjeg

midtlinjeg

Answered question

2020-10-25

“For any elements a and b from a group and any integer n, prove thal (a−1ba)n=a−1bna

Answer & Explanation

Pohanginah

Pohanginah

Skilled2020-10-26Added 96 answers

Using the associativity (a1ba)n

=(a1ba)(a1ba)...(a1ba) n times

=a1b(aa1)b(aa1)...b(aa1)ba

=a1bebe...beba=a1bna

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