Question

化简:[(-2xy^2)^3*(-3x^2y^3)+(-2xy^2)^2*(3x^2y^3)^2*xy^2]/(x^5y^12)

化简:[(-2xy^2)^3*(-3x^2y^3)+(-2xy^2)^2*(3x^2y^3)^2*xy^2]/(x^5y^12)
谢谢

Answer 1

解：原式=[(-2xy²)³×(-3x²y³)+(-2xy²)²×(3x²y³)²×xy²]/(x^5y^12)
=[(-8x³y^6)×(-3x²y³)+(4x²y^4)×(9x^4y^6)×xy²]/(x^5y^12)
=(24x^5y^9+36x^7y^12)/(x^5y^12)
=24x^5y^9÷x^5y^12+36x^7y^12÷x^5y^12
=24×(x^5÷x^5)×(y^9÷y^12)+36×(x^7÷x^5)×(y^12÷y^12)
=24y^(-3)+36x²

追问

谢谢，再问一道行吗？
2^2010*(-1/2)^2008

追答

你好：就再解一道
2^2010×(-1/2)^2008
=2²×2^2008×(-1/2)^2008
=4×[2×(-1/2)]^2008
=4×(-1)^2008
=4×1
=4