x²+y² = 8+1/4 = 33/4 ......(1)x-y=7.5 = 15/2(x-y)² = x²+y²-2xy = (15/2)² = 225/4 ......(2)(1)-(2):2xy = 33/4-225/4 = -192/4= -48xy= -24(xy)^4 = (-24)^4 = 331776
x^2+y^2=33/4, x-y=15/2,所以(x-y)^2=x^2+y^2-2xy=225/4,得xy=-24,所以(xy)^4=331776。