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Using binomial theorem, evaluate : (102)...

Using binomial theorem, evaluate : `(102)^5`

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`(102)^(5) = (100 + 2)^(5)`
`= .^(5)C_(0) + .^(5)C_(1) (100)^(4)(2) + .^(5)C_(2) (100)^(3) (2)^(2)`
`+ .^(5)C_(3) (100)^(2) (2)^(3) + .^(5)C_(4)(100) (2)^(4) + .^(5)C_(5) (2)^(5)`
`= (100)^(5) + 5 (100)^(4) (2) + 10(100)^(3)(2)^(2)`
`+10(100)^(2) (2)^(3) + 5 (100)(2)^(4) + (2)^(5)`
`= 10000000000 + 10000000000 + 40000000 + 800000 + 8000 + 32`
`= 11040808032`
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