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Using binomial theorem compute : (10. 1)...

Using binomial theorem compute : `(10. 1)^5`

Text Solution

Verified by Experts

Given (10.1)^5
We can also write it as
`((101)/(10))^5`
So 101
`(101)^{6}=(100+1)^{5}`
`=5_{C_0}(100)^{5}-5_{C_1}(100)^{4}(1)+5_{C_2}(100)^{3}(1)^{2}-5_{C_3}(100)^{2}(1)^{3}+5_{C_4}(100)(1)^{4}-5_{C_5}100(1)^{5}+`
`=>105101.00501`
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