`(101)^(4)` का प्रसार कीजिये |

Explanation

`(101)^(4)=(100+1)^(4)=.^(4)C_(0)(100)^(4)(1)^(0)+^(4)C_(1)(100)^(3)(1)^(1)+^(4)C_(2)(100)^(2)(1)^(2)+^(4)C_(3)(100)^(1)(1)^(3)+^(4)C_(4)(100)^(0)(1)^(4)`
`=.^(4)C_(0)(100)^(4)+^(4)C_(1)(100)^(3)*1+^(4)C_(2)(100)^(2)*1+^(4)C_(3)(100)*1+^(4)C_(4)1*1`
`=(1xx100000000)+(4xx1000000xx1)+(6xx10000xx1)+(4xx100xx1)+(1xx1xx1)`
`=100000000+4000000+60000+400+1`
=104060401