24-04-2018
Mathematics

contestada

simplify: 27x^(3/4)×(16xy^-2)^(-1/4), x and y are not equal to 0

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CastleRook CastleRook

03-05-2018

simplifying the expression gives us:
27x^(3/4)×(16xy^-2)^(-1/4)
=27x^(3/4)×(2^4xy^-2)^(-1/4)
=[27x^(3/4)×x^(-1/4)]×[2^(4×-1/4)]×(y^(-2×-1/4))
=27x^(1/2)×2^-1×y^(1/2)
=27/2x^(1/2)y^(1/2)
=27/2(xy)^(1/2)

Answer: 27/2(xy)^(1/2)

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