Question

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

Exponents and radicals
ANSWERED
asked 2020-10-25
“For any elements @ and b from a group and any integer n, prove thal (a−1ba)n=a−1bna

Answers (1)

2020-10-26
Using the associativity PSK(a^-1ba)^n={(a^-1ba)(a^-1ba)...(a^-1ba)} n times =a^-1b(aa^-1)b(aa^-1)...b(aa^-1)ba =a^-1bebe...beba =a^-1b^naZSK
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