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Find the value of (1)/(81^(n))-(10)/(8...

Find the value of
`(1)/(81^(n))-(10)/(81^(n)).^(2n)C_(1) + (10^(2))/(81^(n)).^(2n)C_(2)-(10^(3))/(81^(n)).^(2n)C_(3)+"....."+(10^(2n))/(81^(n))`.

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