0.2的0.6次方与0.3的0.4次方比较大小,
问题描述:
0.2的0.6次方与0.3的0.4次方比较大小,
答
0.2^0.6 = (0.2^3)^0.2 = 0.008^0.2
0.3^0.4 = (0.3^2)^0.2 = 0.09^0.2
对于y=x^a,y随着x增大而增大.
因为0.09>0.008,所以0.09^0.2>0.008^0.2,
即0.3^0.4>0.2^0.6.