x^{-3}y^{-5}.-2yx^{2}/(-2x^{-3}y^{4})^{5}=
X^{-3 }y ^{-5} * (- 2) Y X^{2 } / ( -2 X^{-3} Y^{4} )^{5 =}
- 2Y X^{2} / (-2) ^{5 }X^{-15 } Y^{20 = }X ^{17} / 16 Y^{20}
Just use the laws of Multiplication of exponents with the same base, and also negative exponents.