Powers of i and Complex Numbers

What variable do we use to represent imaginary numbers?

• x

• y

• m

• i

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CCSS.HSN.CN.A.1

 $i^2=?$  

• i

• -1

• -i

• 1

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CCSS.HSN.CN.A.1

 $i^{63}\ =?$  

• i

• -1

• -i

• 1

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CCSS.HSN.CN.A.2

What is the simplified form of (-6i)(3i)?

• -18

• -18i

• 18

• -18i²

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CCSS.HSN.CN.A.2

Simplify.
 $\frac{5+3i}{4-2i}$ 

•  $\frac{7}{10}+\frac{11i}{10}$  

•  $\frac{13}{10}+\frac{i}{10}$  

•  $\frac{5}{4}+\frac{3i}{2}$  

•  $\frac{7}{10}-\frac{11i}{10}$  

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CCSS.HSN.CN.A.3

Simplify using the powers of i.

i²⁴

• i

• 1

• -1

• -i

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CCSS.HSN.CN.A.2

Simplify using the powers of i.

-9i⁴³

• -9i

• 9i

• 9

• -9

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CCSS.HSN.CN.A.2

• $-24i\sqrt{7}$
  

• $24i\sqrt{7}$

• $-24\sqrt{7}$

• $24\sqrt{7}$

Tags

CCSS.HSN.CN.A.1

Simplify:
(-3i)(4i)(-5i)

• -60i
• 60
• -60
• 60i

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CCSS.HSN.CN.A.2

 $5i\cdot i\cdot-2i$  

(a)  

Tags

CCSS.HSN.CN.A.2