已知3^m=1/27,(1/2)^n=16.求m^n的值

问题描述:

已知3^m=1/27,(1/2)^n=16.求m^n的值

3^m=1/27 = 1/3^3 = 3^(-3),m=-3
(1/2)^n=16,[2^(-1)]^n=2^4,2^(-n)=2^4,n=-4
m^n = (-3)^(-4) = 1/(-3)^4 = 1/81

m=-3
n=-4
m^n=1/81

m=-3 n=-4
所以m^n=(-3)^(-4)
=1/81

m=-3
n=-4
m^n=(-3)^(-4)=3^(-4)=1/81

3^m=1/27
m=-3
(1/2)^n=16
n=-4
m^n
=(-3)^(-4)
=1/81