1.

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

Answer»

(102)6 = (100 + 2)6 = (100)6 + 6C1(1 00)5 . 2 + 6C2(100)4 .2+ 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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