Simplify Powers of I

√-81

• 9i

• 81i

• -9

• -9i

What is i²²?

• i

• -1

• -i

• 1

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CCSS.HSN.CN.A.2

What is i⁵+i⁷?

• -i

• i

• -1

• 0

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CCSS.HSN.CN.A.2

Simplify:
3√-75

• 3i√3

• 15i√3

• 9i√5

• -15i√3

Simplify i⁶

• i

• -1

• -i

• 1

Tags

CCSS.HSN.CN.A.2

• A

• B

• C

• D

• E

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CCSS.HSN.CN.A.2

i¹³

• -1

• 1

• i

• -i

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CCSS.HSN.CN.A.2

i⁷⁹

• i

• 1

• -1

• -i

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CCSS.HSN.CN.A.2

Simplify i²³

• 1

• -1

• i

• -i

Tags

CCSS.HSN.CN.A.2

If i has a large exponent, divide the exponent by 4, and use the remainder as the exponent of i, then simplify.

Example: i²³ = i ^{remainder of 23/4} = i ³ = -i

*Choose all that apply

• Correct

• True

• That's how you do it!!

• Aha, aha, aha :)

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CCSS.HSN.CN.A.2