Simplifying Higher Exponents of Imaginary Numbers

What is the value of i squared?

• -1

• -i

• i

• 1

Tags

CCSS.HSN.CN.A.1

What is the value of i to the fourth power?

• i

• -1

• -i

• 1

Tags

CCSS.HSN.CN.A.2

What happens to the powers of i after i to the fourth power?

• They continue to increase linearly.

• They reset and start repeating.

• They become zero.

• They become negative.

Tags

CCSS.HSN.CN.A.2

How can i to the 15th power be simplified?

• -1

• 1

• -i

• i

Tags

CCSS.HSN.CN.A.2

What is the value of i to the 15th power?

• -1

• 1

• -i

• i

Tags

CCSS.HSN.CN.A.2

What is the first step in the shortcut method for simplifying higher powers of i?

• Subtract 4 from the power.

• Multiply the power by 4.

• Divide the power by 4.

• Add 4 to the power.

Tags

CCSS.HSN.CN.A.2

What is the remainder when 21 is divided by 4?

• 0

• 3

• 1

• 2

Tags

CCSS.4.NBT.B.6

What is i to the 21st power equivalent to?

• i

• -i

• 1

• -1

Tags

CCSS.HSN.CN.A.2

What is the value of i to the 52nd power?

• -i

• 1

• -1

• i

Tags

CCSS.HSN.CN.A.2

What is the remainder when 34 is divided by 4?

• 0

• 1

• 2

• 3

Tags

CCSS.4.NBT.B.6