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Express the following in the form a+i b ...

Express the following in the form `a+i b : i^(-39)`

Text Solution

Verified by Experts

Given that,
`i^-39`
`=1/i^39`
`=1/(i^38 times i)`
...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Express the following in the form a+i b : (-5i)(1/8i)

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  2. Express the following in the form a+i b :(5i)(-3/5i)

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  3. Express the following in the form a+i b : i^(-39)

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  4. Express the following in the form a+i b :(-i)(2i)(-1/8i)^3

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  5. Express the following in the form a+i b : i^9+i^(19)

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  6. Express the following in the form a+i b :(1-i)^4

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  7. Express each of the following in the form a+i b :3(7+7i)+i(7+7i)

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  8. Express each of the following in the form a+i b :(1/5+2/5i)-(4+5/2i)

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  9. Express each of the following in the form a+i b :(1-i)-(-1+6i)

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  10. Express each of the following in the form a+i b :{(1/3+7/3i)+(4+1/3i)}...

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  11. Express each of the following in the form a+i b :(1/3+3i)^3

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  12. Express each of the following in the form a+i b :(5-3i)^2

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  13. Express each of the following in the form a+i b :(-2-1/3i)^3

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  14. Express each of the following in the form a+i b :(-sqrt(3)+\ sqrt(-2))...

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  15. Express the following in the standard form a+i b :1/(3-4i)

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  16. Express the following in the standard form a+i b :((3-2i)(2+3i))/((1+2...

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  17. Express the following in the standard form a+i b :(5+4i)/(4+5i)

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  18. Express the following in the standard form a+i b :1/(-2+sqrt(-3))

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  19. Express the following in the standard form a+i b :((3+isqrt(5))(3-isqr...

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  20. Express the following in the standard form a+i b :((1+i)^2)/(3-i)

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