化简(1+2^(-1/8))(1+2^(-1/4))(1+2^(-1/2))化简 (1+2^(-1/8))(1+2^(-1/4))_数学解答

化简(1+2^(-1/8))(1+2^(-1/4))(1+2^(-1/2))
化简 (1+2^(-1/8))(1+2^(-1/4))(1+2^(-1/2))

人气：393 ℃　时间：2020-05-09 01:25:11

解答

=(1-2^(-1/8))(1+2^(-1/8))(1+2^(-1/4))(1+2^(-1/2))/(1-2^(-1/8))
=(1-2^(-1/4))(1+2^(-1/4))(1+2^(-1/2))/(1-2^(-1/8))
=(1-2^(-1/2))(1+2^(-1/2))/(1-2^(-1/8))
=(1-2^(-1))/(1-2^(-1/8))
=(1-1/2)/(1-1/256)
=128/255