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Let x ,\ y ,\ z in [-1,\ 1] such that si...

Let `x ,\ y ,\ z in [-1,\ 1]` such that `sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2` . Find the value of `x^(2016)+y^(2018)+z^(2020)-9/(x^(2016)+y^(2018)+z^(2020))`

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