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in Binomial Theorem by (65.6k points)

Use binomial theorem to evaluate up to 4 decimals place (102)6

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(102)6 = (100 + 2)6 

= (100)6 + 6C1(1 00)5.2 + 6C2(100)4 .22+ 6C3(100)3 .23 + 6C4(100)2 .24 + 6C5.100.25 + 6C626 

= 1000000000000 + 120000000000 + 6000000000 + 160000000 + 2400000 + 19200 + 64 

= 1,126,162,419,264

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