If $f(x)=x^3$, what is the value of $f^{-1}(8)\div (f(8))^{-1}$?
<|im_start|>system
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<|im_start|>user
If $f(x)=x^3$, what is the value of $f^{-1}(8)\div (f(8))^{-1}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1024
If $f(x)=x^3$, what is the value of $f^{-1}(8)\div (f(8))^{-1}$?
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