Answer to Question #118521 in Abstract Algebra for Jflows

Abstract Algebra

Question #118521

1.Let G be a group. Then left (ab right)^−1=______ for every A in G.
a.\\(b^{-1}a^{-1}\\)
b.\\(Ab\\)
c.\\(ba\\)
d.\\(A^{-1}b^{-1}\\)

Expert's answer

"(ab)^{-1}ab=e", so "(ab)^{-1}a=b^{-1}" and "(ab)^{-1}=b^{-1}a^{-1}"

Answer: "(ab)^{-1}=b^{-1}a^{-1}"

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