If $sin^{-1}(x)+sin^{-1}(y)+sin^{-1}(z)=\frac{3\pi}{2}$, then the value of $((x)^{100}+(y)^{100}+(z)^{100})-\frac{9}{(x)^{101}+(y)^{101}+(z)^{101}}$ is :

If $sin^{-1}(x)+sin^{-1}(y)+sin^{-1}(z)=\frac{3\pi}{2}$, then the value of $((x)^{100}+(y)^{100}+(z)^{100})-\frac{9}{(x)^{101}+(y)^{101}+(z)^{101}}$ is :
1). 0
2). 3
3). 2
4). -1

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