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1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2...

`1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2)+1/(2^10 .3^1)=k/(2^10 . 3^10)` find the remainder when `k` is divided by `6`

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