已知3的m次幂=5,3的n次幂=3,求3的3m+3n次幂的值

问题描述:

已知3的m次幂=5,3的n次幂=3,求3的3m+3n次幂的值

3^m=5
3^n=3
3^(3m+3n)
=3^(3m)*3^(3n)
=(3^m)³*(3^n)³
=5³*3³
=125*27
=3375