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

Question

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

Answer 1

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