One Minus A Colorful Sum

Algebra Level 2

Simplify the colorful expression below. 1(12+14+18+116+132+164+1128+1256){1-\left(\dfrac{1}{\color{#3D99F6}{2}}+\dfrac{1}{\color{#D61F06}{4}}+\dfrac{1}{\color{#20A900}{8}}+\dfrac{1}{\color{#624F41}{16}}+\dfrac{1}{\color{magenta}{32}}+\dfrac{1}{\color{#EC7300}{64}}+\dfrac{1}{\color{#69047E}{128}}+\dfrac{1}{\color{#BBBBBB}{256}}\right)}

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