化简(1+1/2^2)(1+1/2^4 )(1+2/2^8)(1+2/2^16)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/24 23:02:36
化简(1+1/2^2)(1+1/2^4 )(1+2/2^8)(1+2/2^16)
(1+1/2^2)(1+1/2^4 )(1+1/2^8)(1+1/2^16)
=(1-1/2^2)(1+1/2^2)(1+1/2^4 )(1+1/2^8)(1+1/2^16)/(1-1/2^2) ...//注:即上下同乘(1-1/2^2)
=(1-1/2^4)(1+1/2^4 )(1+1/2^8)(1+1/2^16)/(1-1/2^2) ...//注:平方差公式
=(1-1/2^8)(1+1/2^8)(1+1/2^16)/(1-1/2^2)
=(1-1/2^16)(1+1/2^16)/(1-1/2^2)
=(1-1/2^32)/(1-1/2^2)
=(1-1/2^32)/(3/4)
=(4-1/2^30)/3
=(1-1/2^2)(1+1/2^2)(1+1/2^4 )(1+1/2^8)(1+1/2^16)/(1-1/2^2) ...//注:即上下同乘(1-1/2^2)
=(1-1/2^4)(1+1/2^4 )(1+1/2^8)(1+1/2^16)/(1-1/2^2) ...//注:平方差公式
=(1-1/2^8)(1+1/2^8)(1+1/2^16)/(1-1/2^2)
=(1-1/2^16)(1+1/2^16)/(1-1/2^2)
=(1-1/2^32)/(1-1/2^2)
=(1-1/2^32)/(3/4)
=(4-1/2^30)/3
化简(1+1/2^2)(1+1/2^4 )(1+2/2^8)(1+2/2^16)
化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
化简:(1+2^1/32)(1+2^1/16)(1+2^1/8)(1+2^1/4)(1+2^1/2)
化简[1+2^(-1/32)][1+2^(-1/16)][1+2^(-1/8)]
化简[1+2(^-1/32)][1+2^(-1/16)][1+2^(-1/8)][1+2^9-1/4)][1+2^(-1
化简(1+2^(-1/32))(1+2^(-1/16))(1+2^(-1/8))(1+2^(-1/4))(1+2^(-1
关于指数的,等人解.化简(1+2^-1/32)(1+2^-1/16)(1+2^-1/8)(1+2^-1/4)(1+2^-
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)+1计算方法是什么?
今天就要!化简(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
计算(1+2)(1+2²)(1+2^4)(1+2^8)(1+2^16)
计算(1+2)(1+2^2;)(1+2^4)(1+2^8)(1+2^16)(1+2^32)
(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),