Question
What happens when 1cm worms are sent through these hook-ups?
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Answer
If cm worms are sent through $(x261)$ and $(x2^{-1})$ machine, then the result comes with $1\times2\times\frac{1}{2}=1\text{cm}.$
If 1cm worms are sent through $(x2^{-1})$ and $(x2)^{-2}$ hooked machine, the result comes with
$1\times\frac{1}{2}\times\frac{1}{2\times2}=\frac{1}{2\times4}=\frac{1}{8}\text{cm}=0.125\text{cm}.$
If 1cm worms are sent through $(x2^{-1})$ and $(x2)^{-2}$ hooked machine, the result comes with
$1\times\frac{1}{2}\times\frac{1}{2\times2}=\frac{1}{2\times4}=\frac{1}{8}\text{cm}=0.125\text{cm}.$
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