4^2011*2^2012*(-0.125)^2010

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  • 4^2011*2^2012*(-0.125)^2010

    =2^4022*2^2012*(0.5^3)^2010

    =2^6034*0.5^6030

    =(2^6030*2^4)*0.5^6030

    =2^6030*0.5^6030*2^4

    =(2x0.5)^6030*16

    =16

    (xy)^m*(xy)^n*(-1/6x^m+n)

    =(xy)^(m+n)*(-1/6)*x^(m+n)

    =(-1/6)x^(m+n)*y^(m+n)*x^(m+n)

    =(-1/6)*3*2*3

    =-3

    [(x+y)(X-y)-(X-y)²-(6x²y-2xy²)]/2y,其中x=-2,y=1/2

    =[x²-y²-x²-y²+2xy-6x²y+2xy²]/2y

    =[-2y²+2xy-6x²y+2xy²]/2y

    =-y+x-3x²+xy

    =-1/2-2-12-1

    =-15又1/2