Problem 1SP: Skill Practice 1 Write each expression in terms of i. a. 81 b. 50 c. 11 Problem 2SP: Skill Practice 2 Multiply or divide as indicated. a. 1649 b. 102 c. 483 Problem 3SP: Skill Practice 3 Simplify each expression and write the result in the form a+bi. a. 4+49 b. 38i7 c.... Problem 4SP: Skill Practice 4 Simplify. a. i13 b. i103 c. i64 d. i30 Problem 5SP Problem 6SP Problem 7SP: Skill Practice 7
Multiply. Write the result in the form.
a. b.
Problem 8SP Problem 1PE Problem 2PE: For a positive real number b, the value b=. Problem 3PE:
3. Given a complex number, the value of a is called the ______ part and the value of b is called... Problem 4PE: Given a complex number a+ib, the expression aib is called the complex _________. Problem 5PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
5.
Problem 6PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 100 Problem 7PE Problem 8PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 63 Problem 9PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
9.
Problem 10PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 23 Problem 11PE Problem 12PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
12.
Problem 13PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
13.
Problem 14PE Problem 15PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
15.
Problem 16PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
16.
Problem 17PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 614 Problem 18PE Problem 19PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 982 Problem 20PE Problem 21PE: For Exercises 5–22, write each expression in terms of i and simplify. (See Examples 1–2)
21.
Problem 22PE: For Exercises 522, write each expression in terms of i and simplify. (See Examples 12) 805 Problem 23PE: For Exercises 23–28, determine the real and imaginary parts of the complex number
23.
Problem 24PE: For Exercises 2328, determine the real and imaginary parts of the complex number 24i Problem 25PE: For Exercises 2328, determine the real and imaginary parts of the complex number 19i Problem 26PE: For Exercises 23–28, determine the real and imaginary parts of the complex number
26.
Problem 27PE: For Exercises 23–28, determine the real and imaginary parts of the complex number
27.
Problem 28PE: For Exercises 2328, determine the real and imaginary parts of the complex number 47 Problem 29PE: For Exercises 29–40, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 30PE: For Exercises 29–40, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 31PE: For Exercises 29–40, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 32PE: For Exercises 2940, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 33PE: For Exercises 29–40, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 34PE Problem 35PE: For Exercises 2940, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 36PE Problem 37PE: For Exercises 2940, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 38PE Problem 39PE: For Exercises 2940, simplify each expression and write the result in standard form, a 1 bi. (See... Problem 40PE Problem 41PE: For Exercises 4144, simplify the powers of i. (See Example 4) a. i20 b. i29 c. i50 d. i41 Problem 42PE Problem 43PE Problem 44PE Problem 45PE: For Exercises 45–68, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 46PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 47PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 48PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 49PE Problem 50PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 51PE Problem 52PE Problem 53PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 54PE Problem 55PE: For Exercises 45–68, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 56PE Problem 57PE: For Exercises 45–68, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 58PE Problem 59PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 60PE Problem 61PE: For Exercises 45–68, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 62PE Problem 63PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 64PE Problem 65PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 66PE: For Exercises 4568, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 67PE Problem 68PE: For Exercises 45–68, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 69PE Problem 70PE: For Exercises 6972, for each given number, (a) identify the complex conjugate and (b) determine the... Problem 71PE Problem 72PE: For Exercises 6972, for each given number, (a) identify the complex conjugate and (b) determine the... Problem 73PE Problem 74PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 75PE Problem 76PE Problem 77PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 78PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 79PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 80PE Problem 81PE: For Exercises 73–88, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 82PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 83PE Problem 84PE: For Exercises 7388, perform the indicated operations. Write the answers in standard form, a 1 bi.... Problem 85PE Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE Problem 98PE Problem 99PE Problem 100PE Problem 101PE Problem 102PE Problem 103PE Problem 104PE Problem 105PE Problem 106PE Problem 107PE: For Exercises 105110, factor the expressions over the set of complex numbers. For assistance,... Problem 108PE Problem 109PE Problem 110PE: For Exercises 105110, factor the expressions over the set of complex numbers. For assistance,... Problem 111PE Problem 112PE Problem 113PE Problem 114PE format_list_bulleted