If `cosx.cos2x.cos4x.cos8x` for `x=(2x)/3` is a rational number `p/q` where `p,q in NN,` then the least value of `(p+q)` is: (A) 9 (B) 17 (C) 25 (D) 34

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The value of cosx2x.cos3x…..cos 999x where x=(2pi)/1999 is p then 2^(1000)p is equal to __________

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