Section 1.5 Homework

1. Find the real and imaginary parts of the complex number. 

$\frac{–2–7i}{3}$

real part

imaginary part

2.  Find the real and imaginary parts of the complex number. 

$i\sqrt{5}$

real part

imaginary part

3. Evaluate the sum, and write the result in the form a + bi.  (Simplify your answer completely.) (3 − 9i) + (−2 − 5i)

4.  Evaluate the difference, and write the result in the form a + bi.  (Simplify your answer completely.) (−8 + 7i) − (4 − 8i)

5.  Evaluate the sum, and write the result in the form a + bi.

$\left(1–4i\right) + \left(–7–\frac{8}{3}i\right)$

6.  Evaluate the product, and write the result in the form a + bi.  (Simplify your answer completely.)−3(6 − 8i)

7.  Evaluate the product, and write the result in the form a + bi.  (Simplify your answer completely.)(9 + 7i)(2 − 2i)

8.  Evaluate the product, and write the result in the form a + bi.  (Simplify your answer completely.) (5 − 2i)(5 + 2i)

9.    Evaluate the product, and write the result in the form a + bi.  (Simplify your answer completely.) (6 + 7i)²

10.  Evaluate the quotient, and write the result in the form a + bi. (Simplify your answer completely.) 

11. Evaluate the quotient, and write the result in the form a + bi. (Simplify your answer completely.) 

12.  Evaluate the quotient, and write the result in the form  a + bi.  (Simplify your answer completely.) 

13.   Evaluate the quotient, and write the result in the form a + bi. (Simplify your answer completely.) 

14.   Evaluate the power, and write the result in the form a + bi. (Simplify your answer completely.) 

15.  Evaluate the power, and write the result in the form a + bi. (Simplify your answer completely.) 

.16.  Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer completely.) 

17.  Find all solutions of the equation and express them in the form a + bi. (Enter your answers as a comma-separated list. Simplify your answer completely.)

18.   Find all solutions of the equation and express them in the form a + bi. (Enter your answers as a comma-separated list. Simplify your answer completely.)

19.  Evaluate the given expression for z = 4 − 6i and w = 6 + 4i.  (Simplify your answer completely.)