Express in the form a+ib: ((1-i)^4)

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.

8. ((1-i)^4)


Complex Numbers and Quadratic Equations

Exercise 4.1

Ncert Solutions class 11 Complex Numbers and Quadratic Equations Exercise 4.1

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Class 11

Complex Numbers and Quadratic Equations

Exercise 4.1

Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.

1. ((5i)(-frac{3}{5}i))

2. (i^9+i^{19}) 

3. (i^{-39})

4. (3(7 + i7) + i(7 + i7))

5. ((1 – i) – ( –1 + i6))

6. ((frac{1}{5}+ifrac{2}{5})-(4+ifrac{5}{2}))

7. ([(frac{1}{3}+ifrac{7}{3})+(4+ifrac{1}{3})])(-(-frac{4}{3}+i))

8. ((1-i)^4)

9. ((frac{1}{3}+3i)^3)

10. ((-2-frac{1}{3}i)^3)

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13.

11. (4-3i)

12. (sqrt5+3i)

13. (-i)

14. Express the following expression in the form of a + ib:

(frac{(3+isqrt5)(3-isqrt5)}{(sqrt3+isqrt2)-(sqrt3-isqrt2)}).



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