Question

(y-x)⁷=-(x-y)⁷吗？

Answer 1

根据幂的性质，有
(-a)ⁿ = (-1)ⁿ aⁿ
所以，-(x-y)⁷ = (-1) (x-y)⁷ = (-1)⁷ (x-y)⁷ = - (x-y)⁷
又根据交换律，有
y-x = -(x-y)
所以，(y-x)⁷ = [-(x-y)]⁷
综上，(y-x)⁷ = -(x-y)⁷
望采纳

Answer 2

是的，(y-x)⁷=-(x-y)⁷。这是因为：

(y-x)⁷ = (-(x-y))⁷ （两边同时乘以-1）

因为任何数的七次方都是正的，我们可以消去符号，得到：

(y-x)⁷ = (x-y)⁷