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 (\frac{3x^{2}}{6x^{7} })  \\ \\ 
 (\frac{3x^{2}}{3 * 2 x^{7} }  ) \\

We strike off 3 from the numerator and from the denominator.

 ( \frac{x^{2}} {2  x^{7}}) \\ 

we subtract the index of x in the denominator from the index of x in the numerator. We write x in the numerator only. remove x from denominator.

( \frac{x^{2-7}}{2 })

( \frac{x^{-5}}{2 })

1 3 1