把下列各数按由大到小的循序排列:2^2/3,(5/3)^-1/3,(-2/3)^3,(1/5)^0,(3/2)^2/3
问题描述:
把下列各数按由大到小的循序排列:2^2/3,(5/3)^-1/3,(-2/3)^3,(1/5)^0,(3/2)^2/3
答
(1/5)^0=1
2^(2/3)>(3/2)^(2/3)>1
∴2^(2/3)>(3/2)^(2/3)>(1/5)^0
0(5/3)^(-1/3)>(-2/3)^3