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计算:1:(-x^n)^2+(x^2)^n-x^n*x^22:[(-n)^2]^5/[(-n*n^3)^2*2n^2]:3:-a*a^5-(a^2)^3-(-2a^3)^2
题目详情
计算:1:(-x^n)^2+(x^2)^n-x^n*x^2 2:[(-n)^2]^5/[(-n*n^3)^2*2n^2]
:3:-a*a^5-(a^2)^3-(-2a^3)^2
:3:-a*a^5-(a^2)^3-(-2a^3)^2
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答案和解析
1:(-x^n)^2+(x^2)^n-x^n*x^2
=x^2n+x^2n-x^(n+2)
=2x^2n-x^(n+2)
2:[(-n)^2]^5/[(-n*n^3)^2*2n^2]
=[n^2]^5/[(-n^4)^2*2n^2]
=[n^10]/[(n^8)*2n^2]
=[n^10]/[2n^10]
=1/2
:3:-a*a^5-(a^2)^3-(-2a^3)^2
=-a^6-(a^6)-(4a^6)
=-6a^6
=x^2n+x^2n-x^(n+2)
=2x^2n-x^(n+2)
2:[(-n)^2]^5/[(-n*n^3)^2*2n^2]
=[n^2]^5/[(-n^4)^2*2n^2]
=[n^10]/[(n^8)*2n^2]
=[n^10]/[2n^10]
=1/2
:3:-a*a^5-(a^2)^3-(-2a^3)^2
=-a^6-(a^6)-(4a^6)
=-6a^6
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