计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/28 19:32:44

计算 (1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方

(1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)+ 1/2的十五次方
=(1-1/2)(1+1/2)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2²)(1+1/2的平方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的4次方)(1+1/2的四次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的8次方)(1+1/2的八次方)/(1-1/2)+ 1/2的十五次方
=(1-1/2的16次方)×2+ 1/2的十五次方
=2-1/2的15次方+1/2的15次方
=2