a^6x=3,a^2y=2,求a^3x,a^2x+y的值

题目

a^6x=3,a^2y=2,求a^3x,a^2x+y的值

答案

a^6x=(a^3x)²=3
∴a^3x=±√3
a^2x+y
=a^2x*a^y
=³√a^6x*²√a^2y
=³√3*²√2