(1/2)已知有理数a b c 满足la-1l+(b+3)的平方+(3c-1)2n次方=O(n为正整数)求(abc)125次方/(a9次方b3次

题目

(1/2)已知有理数a b c 满足la-1l+(b+3)的平方+(3c-1)2n次方=O(n为正整数)求(abc)125次方/(a9次方b3次

答案

la-1l+(b+3)的平方+(3c-1)2n次方=O
a-1=0
b+3=0
3c-1=0
a=1
b=-3
c=1/3
(abc)^125
=(-3*1*1/3)^125
=(-1)^125
=-1
a^9b^3c^2
=1^9*(-3)^3*(1/3)^2
=1*(-27)*1/9
=-3