Powers and Roots of Complex Numbers

Question 1

What is raised to the 3rd power?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/0fe2bfba4d5875606cebadfd5d2cdad2.png

Question 2

1✔ 23

Revolt · Accepted Answer

✔ 2

Question 3

product of powersdistributive property✔ factoringtrigonometric sum identity

Revolt · Accepted Answer

✔ factoring

Question 4

Consider the number . What happens when z is raised to successively increasing powers?

Revolt · Accepted Answer

✔ 10; The modulus increases by a factor of .: 10; The argument increases by π over 3.: 5

Question 5

12✔ 510

Revolt · Accepted Answer

✔ 5

Question 6

✔ trigonometric sum identitydistributive propertyfactoringproduct of powers

Revolt · Accepted Answer

✔ trigonometric sum identity

Question 7

What is ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3b42e42c9f1dbb57d753e97b57d0cc42.png

Question 8

Consider the graph of z. Which lettered point represents z2?

Revolt · Accepted Answer

C

Question 9

Consider the graph of z3. Which lettered point represents z?

Revolt · Accepted Answer

B

Question 10

Which of the following are square roots of ? Check all that apply.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/d1dbcd395d60fb5a385f88bee8760532.png; Answer image: //media.edgenuity.com/EVresources/9af8d8d7cf3b67f2601d301f79a42d95.png

Powers and Roots of Complex Numbers Answers

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