Deck 4: Complex-Numbers
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Deck 4: Complex-Numbers
1
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest integer.)
A)64i
B)6i
C)512i
D)-6i
E)-512i

A)64i
B)6i
C)512i
D)-6i
E)-512i
-512i
3
Use DeMoivre's Theorem to find the indicated power of the following complex number. 
A)
B)32
C)64
D)-64
E)

A)

B)32
C)64
D)-64
E)

64
4
Use DeMoivre's Theorem to find the indicated power of the following complex number. 
A)2,500
B)3,125
C)15,625
D)62,500
E)-2,500

A)2,500
B)3,125
C)15,625
D)62,500
E)-2,500
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5
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)- 20
B)20
C)-1
D)
E)1

A)- 20
B)20
C)-1
D)

E)1
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8
Use DeMoivre's Theorem to find the indicated power of the following complex number. 
A)19,683
B)46,656
C)2,187
D)243
E)6,561

A)19,683
B)46,656
C)2,187
D)243
E)6,561
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9
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)23
B)1
C)-1
D)
E)-23

A)23
B)1
C)-1
D)

E)-23
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11
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)-6
B)-48
C)64
D)48
E)-64

A)-6
B)-48
C)64
D)48
E)-64
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12
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)6
B)1,679,616
C)- 6
D)
E)- 1,679,616

A)6
B)1,679,616
C)- 6
D)

E)- 1,679,616
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13
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest digit.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to nearest digit.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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17
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to one decimal place.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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19
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)-22i
B)-2,048i
C)22i
D)2,048i
E)4,194,304i

A)-22i
B)-2,048i
C)22i
D)2,048i
E)4,194,304i
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21
Write the following roots in standard form.(Round your answer to four decimal places.)
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

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22
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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23
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)
B)
C)19683
D)
E)-19683

A)

B)

C)19683
D)

E)-19683
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24
Use DeMoivre's theorem to find the indicated roots of the complex number.
Square roots of
A)
B)
C)
D)
E)
Square roots of

A)

B)

C)

D)

E)

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25
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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26
Find the indicated power.Write the answer in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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27
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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28
Write the following roots in standard form.(Round your answer to four decimal places.)
Square roots of
A)
B)
C)
D)
E)
Square roots of

A)

B)

C)

D)

E)

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29
Use DeMoivre's theorem to find the indicated roots of the complex number.
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

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Unlock Deck
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30
Write the following roots in standard form.(Round your answer to four decimal places.)
Square roots of
A)
B)
C)
D)
E)
Square roots of

A)

B)

C)

D)

E)

Unlock Deck
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31
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
k this deck
32
Use DeMoivre's theorem to find the indicated roots of the complex number.
Square roots of
A)
B)
C)
D)
E)
Square roots of

A)

B)

C)

D)

E)

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Unlock Deck
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33
Use DeMoivre's theorem to find the indicated roots of the complex number.
Fifth roots of
A)
B)
C)
D)
E)
Fifth roots of

A)

B)

C)

D)

E)

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Unlock Deck
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34
Use DeMoivre's theorem to find the indicated roots of the complex number.
Fifth roots of
A)
B)
C)
D)
E)
Fifth roots of

A)

B)

C)

D)

E)

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35
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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36
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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37
Use DeMoivre's theorem to find the indicated roots of the complex number.
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

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Unlock Deck
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38
Use DeMoivre's theorem to find the indicated roots of the complex number.
Fourth roots of
A)
B)
C)
D)
E)
Fourth roots of

A)

B)

C)

D)

E)

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39
Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
k this deck
40
Write the following roots in standard form.(Round your answer to four decimal places.)
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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41
Use DeMoivre's theorem to find the indicated roots of the complex number.
Fourth roots of
A)
B)
C)
D)
E)
Fourth roots of

A)

B)

C)

D)

E)

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42
Find the cube roots of the following complex number.Write each of the roots in standard form. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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43
Write the following roots in standard form.
Fourth roots of
A)
B)
C)
D)
E)
Fourth roots of

A)

B)

C)

D)

E)

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44
Find the fifth roots of
Write the roots in trigonometric form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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45
Use DeMoivre's theorem to find the indicated roots of the complex number.
Fourth roots of
A)
B)
C)
D)
E)
Fourth roots of

A)

B)

C)

D)

E)

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46
Find the cube roots of the following complex number.Write each of the roots in standard form. -729
A)
B)
C)
D)-9
E)
A)

B)

C)

D)-9
E)

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47
Use DeMoivre's theorem to find the indicated roots of the complex number.
Cube roots of 125
A)
B)
C)
D)
E)
Cube roots of 125
A)

B)

C)

D)

E)

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48
Use DeMoivre's theorem to find the indicated roots of the complex number.
Sixth roots of
i
A)
B)
C)
D)
E)
Sixth roots of

A)

B)

C)

D)

E)

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49
Find all solutions to the following equation.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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50
Write the following roots in standard form.(Round your answer to four decimal places.)
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

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51
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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52
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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54
Use DeMoivre's theorem to find the indicated roots of the complex number.
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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55
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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56
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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57
Use DeMoivre's theorem to find the indicated roots of the complex number.
Cube roots of
A)
B)
C)
D)
E)
Cube roots of

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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58
Find the fourth roots of
Write the roots in trigonometric form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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59
Find the fifth roots of the following complex number.Express the root(s) in trigonometric form. 
A)-3
B)
C)
D)
E)

A)-3
B)

C)

D)

E)

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60
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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61
Plot the complex number and find its absolute value.
-5 + 10i
A)
|-5 + 10i| =
B)
|-5 + 10i| =
C)
|-5 + 10i| =
D)
|-5 + 10i| =
E)
|-5 + 10i| =
-5 + 10i
A)

|-5 + 10i| =

B)

|-5 + 10i| =

C)

|-5 + 10i| =

D)

|-5 + 10i| =

E)

|-5 + 10i| =

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62
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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63
Represent the complex number graphically, and find the trigonometric form of the number.
5 + 5i
A)

B)

C)

D)

E)

5 + 5i
A)


B)


C)


D)


E)


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64
Plot the complex number and find its absolute value.
-2
A)

B)

C)

D)

E)

-2
A)


B)


C)


D)


E)


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65
Plot the complex number and find its absolute value.
-4i
A)

B)

C)

D)

E)

-4i
A)


B)


C)


D)


E)


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66
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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67
Plot the complex number and find its absolute value.
-5 + 9i
A)
|-5 + 9i| =
B)
|-5 + 9i| =
C)
|-5 + 9i| =
D)
|-5 + 9i| =
E)
|-5 + 9i| =
-5 + 9i
A)

|-5 + 9i| =

B)

|-5 + 9i| =

C)

|-5 + 9i| =

D)

|-5 + 9i| =

E)

|-5 + 9i| =

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68
Find the absolute value of the complex number 5 + 3i.
A)
B)34
C)
D)5 + 3i
E)
A)

B)34
C)

D)5 + 3i
E)

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69
Plot the complex number 2.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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70
Find the absolute value of the complex number -3 + 5i.
A)
B)
C)34
D)
E)
A)

B)

C)34
D)

E)

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71
Use the formula to find one solution of the equation
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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72
Plot the following complex number. -3 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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73
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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74
Represent the complex number graphically, and find the trigonometric form of the number.
5 - 5i
A)

B)

C)

D)

E)

5 - 5i
A)


B)


C)


D)


E)


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75
Plot the complex number and find its absolute value.
-5 + 2i
A)

B)

C)

D)

E)

-5 + 2i
A)


B)


C)


D)


E)


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76
Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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77
Plot the complex number and find its absolute value.
-3 + 9i
A)

B)

C)

D)

E)

-3 + 9i
A)


B)


C)


D)


E)


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78
Find all solutions to the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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79
Find the trigonometric form of - 21 - 21i.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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80
Write the complex number in trigonometric form.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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