已知xy^2=2,求代数式xy^2*(-x^2y^2)*(1/2xy^3)^2

问题描述:

已知xy^2=2,求代数式xy^2*(-x^2y^2)*(1/2xy^3)^2

xy^2*(-x^2y^2)*(1/2xy^3)^2
=xy^2*(-x^2y^2)*(1/4x²y^6)
=xy^2*(x^4y^8)*(-1/4)
=(-1/4)*xy²*(xy²)^4
=(-1/4)*2*(2)^4
=-8