计算:2^99+2^98+2^97.+2+1

问题描述:

计算:2^99+2^98+2^97.+2+1

设x=2^99+2^98+2^97.+2+1
则2x=2^100+2^99+2^98+2^97.+2
下式减上式,得
x=2^100-1