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If sin^(-1) x + sin^(-1) y + sin^(-1) z ...

If `sin^(-1) x + sin^(-1) y + sin^(-1) z = 3pi//2`,
evaluate: `x^(100) + y^(100) + z^(100) + (9)/(x^(101) + y^(101) + z^(101))`.

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