已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值

已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值
已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值

已知a^m=2,a^n=4,a^k=6,试求a^4m-3n+2k的值
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

已知a^m=2,a^n=4,a^k=6,
所以a^（4m-3n+2k）
=求a^4m/(a^3n * a^2k)
= 2^4/(4^3*6^2)
=16/(12*36)
=1/27