If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi \), then find the value of \[ x^{100}+y^{100}...
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0If \( \cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi \), then find the value of
\[
x^{100}+y^{100}+z^{100}-\frac{9}{x^{101}+y^{101}+z^{101}}
\]
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