已知a^m=2,a^n=3,求a^2m+3n的值

题目

已知a^m=2,a^n=3,求a^2m+3n的值

答案

a^(2m+3n)
=a^(2m)*a^(3n)
=(a^m)²*(a^n)³
=2²*3³
=4*27
=108