求下面算式的简便运算方式

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求下面算式的简便运算方式求下面算式的简便运算方式求下面算式的简便运算方式原式=2-2×2-2×2×2-2×2×2×2-…+2×2×2×2×2×2×2×2=2-(2×2+2×2×2+2×2×2×2+…+

求下面算式的简便运算方式
求下面算式的简便运算方式

求下面算式的简便运算方式
原式=2-2×2-2×2×2-2×2×2×2-…+2×2×2×2×2×2×2×2
=2-(2×2+2×2×2+2×2×2×2+…+2×2×2×2×2×2×2)+2×2×2×2×2×2×2×2
=2-(4+8+16+32+64+128)+256
=2-252+256
=2-(252-256)
=2-(-4)
=6