幂运算计算题N道

题目

幂运算计算题N道
1.(2/3)^1998*(1.5)^1997*(-1)^1999
2.(x^3)^2/[(x^4)^3/(x^3)^3]^3
3.4-(-2)^-2-3^-2/(3.14-π)^0
4.[(-n)^2]^5/[(-n*n^3)^2*2n^2]
5.(-3*3^-2)^-3-(-3^2)^2
6.x^m*x^m+x^p=1*x^p-1-x^m+1*x^m-1
7.(a+b)(b+a)*(b+a)^2+(a+b)^2*(-a-b)^2
8.2x*x^5+(-x)^2*x*(-x)^7
9.b^n+2*b*b^2-b^n*b^2*b^3
10.(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n
太多了,我都晕了,

答案

1.(2/3)^1998*(1.5)^1997*(-1)^1999
=(2/3)^1998*(3/2)^1997*(-1)^1999
=(2/3)*(-1)
=-2/3
2.(x^3)^2/[(x^4)^3/(x^3)^3]^3
=(x^3)^2/[(x^4/x^3)^3]^3
=(x^3)^2/[x^3]^3
=1/x^3
3.4-(-2)^-2-3^-2/(3.14-π)^0
=4-1/4-1/9
=131/36
4.[(-n)^2]^5/[(-n*n^3)^2*2n^2]
=n^10/[n^8*2n^2]
=n^10/2*n^10
=1/2
5.(-3*3^-2)^-3-(-3^2)^2
=(-1/3)^(-3)-3^4
=-3^3-3^4
=-27-81
=-108
6.x^m*x^m+x^(p+1)*x^(p-1)-x^m+1*x^m-1
=x^2m+x^2p-x^2m
=x^2p
7.(a+b)(b+a)*(b+a)^2+(a+b)^2*(-a-b)^2
=(a+b)^4+(a+b)^4
=2(a+b)^4
8.2x*x^5+(-x)^2*x*(-x)^7
=2x^6-x^10
9.b^n+2*b*b^2-b^n*b^2*b^3
=b^n+2b^3-b^(n+5)
10.(x+y-z)^3n*(z-x-y)^2n*(x-z+y)^5n
=(x+y-z)^3n*[-(x+y-z)]^2n*(x+y-z)^5n
=(x+y-z)^10n