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Express the following in a+ib form. (1-i...

Express the following in a+ib form. `(1-i)^4`

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(1-i)^(4)=1^(4)-4 xx 1^(3) xx i+6 xx 1^(2) xx(i)^(2)-4 xx 1 xx i^(3)+(i)^(4)
=1-4 i+6 x(-1)-4 x(-i)+1. .=1-4 i-6+4 i+1=-4.
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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express the following in a+ib form (1/5+i2/5)-(4+5/2i)

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  2. Express the following in a+ib form. [(1/3+i7/3)+(4+i1/3)]-[-4/3+i]

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  3. Express the following in a+ib form. (1-i)^4

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  4. Express the following in a+ib form (1/3+3i)^3

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  5. Express the following in a+ib form. (-2-1/3i)^3

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  6. Find the multiplicative inverse of the following complex number 4-3i

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  7. Express each of the complex number given in the questionsqrt(5)+3i

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  8. Express each of the complex number given in the question -(i)

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  9. Express the following expression in form of a+ib: ((3+i sqrt(5))(3-i s...

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  10. Represent the complex number z=1+isqrt3 in the polar form.

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  11. Convert the complex number (-16)/(1+i sqrt(3)) into polar form.

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  12. Find the modulus and argument of the following complex number z = -1 ...

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  13. Represent each of the following numbers in polar form. -sqrt3 + i

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  14. Convert the following complex numbers into polar form 1 - i

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  15. Convert the following complex numbers into polar form -1 + i

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  16. Convert the following complex numbers into polar form -1 -i

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  17. Convert the following complex numbers into polar form -3

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  18. Write polar form of the complex number z=sqrt3+i

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  19. express the complex number i in the polar form.

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  20. Solve x^(2)+2=0

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