计算(2+1)(2^2+1)(2^4+1).(2^2n+1)的值 注:a^b=a的b次方

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计算(2+1)(2^2+1)(2^4+1).(2^2n+1)的值 注:a^b=a的b次方
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计算(2+1)(2^2+1)(2^4+1).(2^2n+1)的值 注:a^b=a的b次方
计算(2+1)(2^2+1)(2^4+1).(2^2n+1)的值 注:a^b=a的b次方

计算(2+1)(2^2+1)(2^4+1).(2^2n+1)的值 注:a^b=a的b次方
(2+1)(2^2+1)……(2^2n+1)
=(2-1)(2+1)(2^2+1)……(2^2n+1)/(2-1)
=(2^2-1)(2^2+1)……(2^2n+1)/1
=(2^4-1)(2^4+1)……(2^2n+1)
=……
=2^4n-1

用计算器按,,,

2+1)(2^2+1)……(2^2n+1)
=(2-1)(2+1)(2^2+1)……(2^2n+1)/(2-1)
=(2^2-1)(2^2+1)……(2^2n+1)/1
=(2^4-1)(2^4+1)……(2^2n+1)
=……
=2^4n-1