计算:6(7+1)(7^2+1)(7^4+1)(7^8+1)+1

来源:学生作业学帮网 编辑:学帮网 时间:2024/07/01 07:47:07

计算:6(7+1)(7^2+1)(7^4+1)(7^8+1)+1


6(7+1)(7²+1)(7^4+1)(7^8+1)+1
=(7-1)(7+1)(7²+1)(7^4+1)(7^8+1)+1
=(7²-1)(7²+1)(7^4+1)(7^8+1)+1
=(7^4-1)(7^4+1)(7^8+1)+1
=(7^8-1)(7^8+1)+1
=7^16-1+1
=7^16

=48*50*2402*5764802+1=7.975903336704e+16

6(7+1)(7^2+1)(7^4+1)(7^8+1)+1
593