幂运算练习6题
问题描述:
幂运算练习6题
1.计算:[(x+y)^3]^2-[(x+y)^2]^3+2(x+y)(-x-y)`[(x+y)^2]^2=
2.已知2^x=a,2^y=b,8^x+y =______.
3.下列式子中与(-a)^2计算结果相同的是( )
A.(a^2)^-1 B.a^2`a^-1 C.a^-2/a^4 D.a^4`(-a)^-2
4.化简(-3x^2)2x^3的结果是________.
5.若2^x=3,4^y=5,则2^x-2y的值为______.
6.已知a+b=0,n为正整数,则下列等式中一定成立的是( )
A.a^n`b^n=0 B.a^2n+b^2n=0 C.a^2n+1 +b^2n+1=0 D.a^n+1 +b^n+1=0
答
1/ [(x+y)^3]^2-[(x+y)^2]^3+2(x+y)(-x-y)`[(x+y)^2]^2=(x+y)^6-(x+y)^6-2(x+y)(x+y)(x+y)^4=-2(x+y)^62/ 8^(x+y)=(2^3)^(x+y)=2^3*(x+y)=2^3x*2^3y=a^3*b^33/ (-a)^2=(a)^2=a^4`(-a)^-2 D4/(-3x^2)*2x^3=-3*2x^2 *x...