Exploring Powers of i in Complex Numbers

What is the main purpose of the website mentioned in the video?

• To sell algebra textbooks

• To provide free algebra and trigonometry resources

• To host math competitions

• To offer online tutoring services

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CCSS.RI.11-12.8

CCSS.RI.9-10.7

CCSS.RL.11-12.8

CCSS.RL.8.7

CCSS.RL.9-10.7

What is the value of i^2?

• -i

• 1

• -1

• i

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CCSS.HSN.CN.A.1

Which of the following is true about i^4?

• i^4 = i

• i^4 = -i

• i^4 = 1

• i^4 = -1

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CCSS.HSN.CN.A.2

How do you simplify i^6?

• i^6 = -1

• i^6 = 1

• i^6 = -i

• i^6 = i^2

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CCSS.HSN.CN.A.2

What is the result of i^7?

• i

• -i

• 1

• -1

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CCSS.HSN.CN.A.2

What is the simplified form of 8i^6?

• -8i

• 8i

• 8

• -8

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CCSS.HSN.CN.A.2

How do you simplify 6i^5?

• -6

• -6i

• 6

• 6i

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CCSS.HSN.CN.A.2

What is the result of multiplying 2 + i by 2 + i?

• 3 + 4i

• 4 + 4i - 1

• 4 + 4i + i^2

• 2 + 11i

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CCSS.HSN.CN.A.2

What is the simplified form of (2 + i)^3?

• 3 + 4i

• 6 + 8i

• 15 + 6i

• 2 + 11i

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CCSS.HSN.CN.C.8

What is the result of multiplying -3 + 8i by -5 - 2i?

• 31 + 34i

• 31 - 34i

• -31 - 34i

• -31 + 34i