已知2^a=m,2^b=n,求2^(2a+3b)的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/15 08:31:04
已知2^a=m,2^b=n,求2^(2a+3b)的值
x=0 ұ)HpHު  D7~zq^B m,S*$T(7݀ Fe1[ObUyZ_Lgj9u G:"ufoi\mV@y,A9EZ3=ھF{ f?m:K/Wo. Q|sXh*=DILγZY#fxn

已知2^a=m,2^b=n,求2^(2a+3b)的值
已知2^a=m,2^b=n,求2^(2a+3b)的值

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

M^2*N^3

2^(2a+3b)=2^(2a)*2^(3b)=(2^a)^2*(2^b)^3=m^2*n^3

2^(2a 3b)=2^2a*2^3b=(2^a)^2*(2^b)^2=m^2*n^2