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Evaluate the following: i^(30)+i^(40)+i^...

Evaluate the following: `i^(30)+i^(40)+i^(60)`

Text Solution

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Given `i^(30)+i^(40)+i^(60)`
`=>i^(4**7+2)+i^(4**10)+i^(4**15) `
`=>(i^4)^7*i^2+(i^4)^10+(i^4)^15`
As ` i^4=1`
`=>i^2+1+1`
`=>i^2+2`
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