化简{-xy/(x-y)²}四次方×(y²-xy/x)³×x四次方/y十次方÷(x/xy-y²)
问题描述:
化简{-xy/(x-y)²}四次方×(y²-xy/x)³×x四次方/y十次方÷(x/xy-y²)
五次方,其中y=-1
答
[-XY/(X-Y)^2]^4*[(Y^2-XY)/X]^3*(X^4/Y^10)÷[X/(XY-Y^2)]^5=-[X^4Y^4*Y^3(X-Y)^3*X^4*Y^5(X-Y)^5]/[(X-Y)^8*X^3*Y^10*X^5]=-[X^8*Y^12*(X-Y)^8]/[(X-Y)^8*X^8*Y^10]=-Y^2Y=-1=-1