①(m-n)^2(n-m)^2(n-m)^3②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2③(-2a)^6-(-3a)^2+[-(2a)^2]^3④若a^n-1 ·a^m+n=a^6,且m-2n=1.求m^n的值⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值
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![①(m-n)^2(n-m)^2(n-m)^3②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2③(-2a)^6-(-3a)^2+[-(2a)^2]^3④若a^n-1 ·a^m+n=a^6,且m-2n=1.求m^n的值⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值](/uploads/image/z/11468825-17-5.jpg?t=%E2%91%A0%EF%BC%88m-n%EF%BC%89%5E2%28n-m%29%5E2%28n-m%29%5E3%E2%91%A1-%EF%BC%883x%5E2+%C2%B7+y%5E2%EF%BC%89%5E3-%28-3x%29%5E2+%C2%B7%EF%BC%88-y%EF%BC%89%5E4+%C2%B7%28x%5E2+y%29%5E2%E2%91%A2%EF%BC%88-2a%EF%BC%89%5E6-%28-3a%29%5E2%2B%5B-%282a%29%5E2%5D%5E3%E2%91%A3%E8%8B%A5a%5En-1+%C2%B7a%5Em%2Bn%3Da%5E6%2C%E4%B8%94m-2n%3D1.%E6%B1%82m%5En%E7%9A%84%E5%80%BC%E2%91%A4%E8%8B%A5a-b%3D2%2Ca-c%3D1.%E6%B1%82%282a-b-c%29%5E2%2B%28c-a%29%5E2%E7%9A%84%E5%80%BC)
①(m-n)^2(n-m)^2(n-m)^3②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2③(-2a)^6-(-3a)^2+[-(2a)^2]^3④若a^n-1 ·a^m+n=a^6,且m-2n=1.求m^n的值⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值
①(m-n)^2(n-m)^2(n-m)^3
②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2
③(-2a)^6-(-3a)^2+[-(2a)^2]^3
④若a^n-1 ·a^m+n=a^6,且m-2n=1.求m^n的值
⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值
①(m-n)^2(n-m)^2(n-m)^3②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2③(-2a)^6-(-3a)^2+[-(2a)^2]^3④若a^n-1 ·a^m+n=a^6,且m-2n=1.求m^n的值⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值
①(m-n)^2(n-m)^2(n-m)^3
=(n-m)^2(n-m)^2(n-m)^3
=(n-m)^7
②-(3x^2 · y^2)^3-(-3x)^2 ·(-y)^4 ·(x^2 y)^2
=-27x^6*y^6-9x^2*y^4*x^4*y^2
=-27x^6*y^6-6x^6*y^6
=-33x^6*y^6
③(-2a)^6-(-3a)^2+[-(2a)^2]^3
=64a^6-9a^2-64a^6
=-9a^2
④若a^(n-1)·a^(m+n)=a^6,且m-2n=1.求m^n的值
n-1+m+n=6
m+2n=7 ①
m-2n=1 ②
解得:m=4,n=3
m^n=64
⑤若a-b=2,a-c=1.求(2a-b-c)^2+(c-a)^2的值
2a-b-c=(a-b)+(a-c)=3
c-a=(a-b)-(a-c)=1
(2a-b-c)^2+(c-a)^2=3^2+1^2=10