1.(x-y)八次方(y-x)五次方(x-y)四次方.
=(x-y)^8*(-(x-y)^5*(x-y)^4
=-(x-y)^17
2.(x-y)三次方(y-x)平方(y-x)五次方
=-(y-x)^3*(y-x)^2(y-x)^5
=-(y-x)^10
3.已知a的m次方=2,a的n次方=3,求a的m+1次方,a的3+n次方,a的m+n+2次方的值
a^(m+1)=a^m*a=2a
a^(3+n)=a^3a^n=3a^3
a^(m+n+2)=a^ma^na^2=6a^2
4.已知x的m-n次方乘x的2n+1次方=x的11次方,且y的m-1次方乘y的4-m次方=y的五次方,求mn²的值
m-n+2n+1=m+n+1=11
m-1+4-m=5,(题目不对啊,应该是y的m+1次方吧?)
即有m+1+4-m=5
解得m=0,n=10
mn^2=0