已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值

题目

已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值

答案

a^(4m-3n+2k)
=a^(4m+2k)/a^3n
=(a^m)^4*(a^k)^2/(a^n)^3
=2^4*6^2/4^3
=9