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15次方
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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15次方
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15次方
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15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15次方
=2(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)+1/2的15次方
=2(1-1/2^2)(1+1/2^2).(1+1/2^8)+1/2^15
=.
=2(1-1/2^16)+1/2^15
=2-1/2^15+1/2^15
=2
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(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2×(1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15...
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(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2×(1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2^4)(1+1/2^4)(1+1/2^8)+1/2^15
=2(1-1/2^8)(1+1/2^8)+1/2^15
=2(1-1/2^16)+1/2^15
=2-1/2^15+1/2^15
=2
^表示指数。
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