Powers of i and Conjugates

Simplify:
i⁷

• i
• -i
• 1
• -1

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Multiply  $4-3i$  by its conjugate. 

• 7

• 25

• 16-9i

• 16+9i

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.3

Which expression yield a real solution. Select all that apply.

• $\left(6i\right)^{27}$

• $\left(-9i\right)^{102}$

• $17i^8$

• $\left(7-8i\right)^2$

• $\left(4+5i\right)\left(4-5i\right)$

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

 $\left(8+3i\right)\left(8-3i\right)$  

Real or Imaginary?

• Real

• Imaginary

• Cannot determine

Tags

CCSS.HSN.CN.A.2

 $\left(7+4i\right)^2$  

Real or Imaginary?

• Real

• Imaginary

• Cannot be determined

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Which statements are true? Select all that apply.

• $\sqrt{-4}=-2$

• $\sqrt{-4}=2i$

• $\sqrt{4i}=2i$

• $2\left(i^2\right)^2=2$

• $2i^3=-2i$

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

 $\left(-5i\right)^{18}$  

Real or Imaginary?

• Real

• Imaginary

• Cannot be determined

Tags

CCSS.HSN.CN.A.2

 $\left(3i\right)^{19}$  

Real or Imaginary?

• Real

• Imaginary

• Cannot be determined

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Simplify:  $i^{15}$  

•  $i$  

•  $1$  

•  $-i$  

•  $-1$  

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Simplify:  $i^{50}$  

•  $i$  

•  $1$  

•  $-i$  

•  $-1$  

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1