The value of ( 3 + i ) 7 in standard form by using De Moivre’s Theorem.

Question

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Answer 1

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

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Answer 2

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 6

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

Answer 7

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

Answer 8

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

Answer 9

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

Answer 10

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

Answer 11

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

Answer 12

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

Answer 13

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

Answer 14

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

Answer 15

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

Answer 16

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

Answer 17

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

Answer 18

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

Answer 19

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

Answer 20

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 21

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 22

Expert Solution & Answer

Answer 23

Expert Solution & Answer

Answer 24

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Answer 25

The value of ( 3 + i ) 7 in standard form by using De Moivre’s Theorem.

Solution Summary: The author explains De Moivre's Theorem to determine the value of (sqrt3+i)7 in standard form.

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

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Chapter 7 Solutions