已知a^m=9,a^n=8,a^k=4,求a^m-2k+3n的值

题目

已知a^m=9,a^n=8,a^k=4,求a^m-2k+3n的值

答案

a^m-2k+3n
=a^m+3n-2k
=a^m*a^3n/a^2k
=a^m*(a^n)^3/(a^k)^2
=9*8^3/4^2
=9*(2^3)^3/(2^2)^2
=9*2^9/2^4
=9*2^9-4
=9*2^5
=9*32
=288