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①(m-n)^2(n-m)^2(n-m)^3②-(3x^2·y^2)^3-(-3x)^2·(-y)^4·(x^2y)^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

题目详情
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
▼优质解答
答案和解析
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