[(m-n)^2*(n-m)^3]^2/(m-n)^4 [(-x^5)^2]^3/[(x^4)^2/(x^2)^3]

来源：学生作业帮助网编辑：作业帮时间：2024/05/10 12:45:41

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[(m-n)^2*(n-m)^3]^2/(m-n)^4 [(-x^5)^2]^3/[(x^4)^2/(x^2)^3]
[(m-n)^2*(n-m)^3]^2/(m-n)^4 [(-x^5)^2]^3/[(x^4)^2/(x^2)^3]

[(m-n)^2*(n-m)^3]^2/(m-n)^4 [(-x^5)^2]^3/[(x^4)^2/(x^2)^3]
[(m-n)^2*(n-m)^3]^2/(m-n)^4
=[(m-n)^2*(m-n)^6]/(m-n)^4
=(m-n)^(2+6-4)
=(m-n)^4
[(-x^5)^2]^3/[(x^4)^2/(x^2)^3]
=x^30/[x^(8-6)
=x^(30-2)
=x^28

1、[(m-n)^2*(n-m)^3]^2/(m-n)^4
=[(m-n)^4*(n-m)^6]/(m-n)^4
=(n-m)^6
2、[(-x^5)^2]^3/[(x^4)^2/(x^2)^3]
=（x^10）^3/[(x^8/x^6)
=x^30/x^2
=x^15

[(m-n)^2*(n-m)^3]^2/(m-n)^4=[(n-m)^2*(n-m)^3]^2/(m-n)^4=[(n-m)^5]^2/(m-n)^4=(n-m)^10/(m-n)^4=
(m-n)^10/(m-n)^4=(m-n)^6
[(-x^5)^2]^3/[(x^4)^2/(x^2)^3]=(x^10)^3/(x^8/x^6)=x^30/x^2=x^28

[(m-n)²(n-m)³]²/(m-n)^4
=-(n-m)^10/(m-n)^4
=(n-m)^6
[(-x^5)²]²/[(x^4)²/(x²)³]
=[(-x^5)²]²/[(x^4)...

全部展开

[(m-n)²(n-m)³]²/(m-n)^4
=-(n-m)^10/(m-n)^4
=(n-m)^6
[(-x^5)²]²/[(x^4)²/(x²)³]
=[(-x^5)²]²/[(x^4)²/(x²)³]
=x^30/[x^8/x^6]
=x^30/x^2
=x^15
同底数幂的除法不是相减而是相除
比如2²/2³=1/2
5²/5³=1/5
x*x / x*x*x = 1/x

收起

[(m-n)^2*(n-m)^3]^2/(m-n)^4
=[(m-n)^4*(n-m)^6]/(m-n)^4
=[(m-n)^4*(m-n)^6]/(m-n)^4
=(m-n)^(4+6-4)
=(m-n)^6
[(-x^5)^2]^3/[(x^4)^2/(x^2)^3]
=[x^10]^3/[x^8/x^6)]
=x^30/x^2
=x^28
指数的运算比幂运算低一级：即幂做乘方，指数做乘法；幂做乘除法，指数做加减法

[(m-n)^2*(m-n)^3]^2/(m-n)^4 [(m-n)^2*(m-n)^3]^2/(m-n)^4 3m(m-n)-2n(m-n)的平方因式分解(n-m)^3(m-n)^2-(m-n)^5 （m-n)2(n-m)3(n-m)4化简（n-m)^3×(m-n)^2-(m-n)^5 计算(m+n)^3-(n+m)(m-n)^2 (m-n)^3(n-m)^2(m-n)=_____ 4m(m-n)^2+4n(n-m)^3 (1),(-m-n)(-m+n) (2),(-m+n)(m-n) 2(m-n)的2次-(m+n)(m-2n)-3n(n-m) 2m-3n-m+2n (m-n)3-(2n-m)3 (3m-n)(m-2n)=() (m+2n)(m-3n) (m-3n)(2m+n) 约分(m-n)^2/(n-m)^3 (m-2n)(-m-n)