已知2^a=m,2^b=n,求2^(2a+3b)的值

问题描述:

已知2^a=m,2^b=n,求2^(2a+3b)的值

2^a=m
两边平方
2^(2a)=m^2(1)
2^b=n
两边三次方
2^(3b)=n^3(2)
(1)式乘以(2)式得到
2^(2a+3b)=m^2*n^3