求详解a^ab^b/(ab)^(a+b)/2的化简_数学解答

求详解a^ab^b/(ab)^(a+b)/2的化简

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解答

=a^a*b^b/[a^(a+b)/2*b^(a+b)/2]
=a^[a-(a+b)/2]*b^[b-(a+b)/2]
=a^(a-b)/2*b^(b-a)/2
=(a/b)^(a-b)/2