(1)(x-2y)^6/(2y-x)^3
=-(x-2y)³
(2)(-x-y)^6/(x+y)^3
=(x+y)^6/(x+y)^3
=(x+y)³
(3)(x-2y)^3*(x-2y)^5/[(2y-x)^2]^3
=(x-2y)^3*(x-2y)^5/(x-2y)^6
=(x-2y)²
(4)x^3n+6/x^3(n+2)
=x^(3n+6-3n-6)
=1
(1)(x-2y)^6/(2y-x)^3
=-(x-2y)³
(2)(-x-y)^6/(x+y)^3
=(x+y)^6/(x+y)^3
=(x+y)³
(3)(x-2y)^3*(x-2y)^5/[(2y-x)^2]^3
=(x-2y)^3*(x-2y)^5/(x-2y)^6
=(x-2y)²
(4)x^3n+6/x^3(n+2)
=x^(3n+6-3n-6)
=1