387

8.5 Exercises

In Exercises 1 – 12, use z = –

313 4 3 ; and w= 342 -3iv/2 to compute the quantity. Express your

2 2

answers in polar form using the principal argument. These exercises should be worked without the aid of

a calculator.

1. ZW

2. 2

3. –

4. z4

W

Z

72

5. ws

6. z’w2

7. z’w2

8. 2

W

W

12.

9. -2

10.

11.

w

z3

z

In Exercises 13 – 24, use DeMoivre’s Theorem to find the indicated power of the given complex number.

ithout the aid of aTrigonometry