计算把结果化为只含有正整数指数幂的形式:[-2(x+y)^2·(x-y)]^-2·[(x+y)^-1·(x-y)^-2]^-3=

问题描述:

计算把结果化为只含有正整数指数幂的形式:[-2(x+y)^2·(x-y)]^-2·[(x+y)^-1·(x-y)^-2]^-3=

原式=[1/(-2)²]×[1/(x+y)^4]×[1/(x-y)²]×[1/(x+y)]×(x-y)^6
=(1/4)×1/[(x+y)^5×(x-y)²]×(x-y)^6
=(x-y)^4/[4(x+y)^5]