Graphing & Simplifying Complex Numbers

Write the complex number shown in the graph.

• -4 + 3i

• -3 - 4i

• -2 - 4i

• -3i + 4

Write the complex number shown in the graph.

• 3i + 1

• 3 + i

• 3 - i

• 1 + 3i

What's the complex number?

• -3i - 3

• -3 + 2i

• -3 - 3i

• -3 - 2i

What value is represented in the complex plane?

• -i - 2

• -1i - 2i

• -i + 2

• -2i - 1

What the imaginary value of the complex number represented on this graph?

• -5i

• -2i

• 2i

• -5

What complex number is this?

• -4 -4i

• -4 -2i

• -4 - i

• -4i -2

What part is real and what part is imaginary in the expression 9 -11i?

• 9 is real and 11 is imaginary

• 9 is real and -11 is imaginary

• 9 is imaginary and -11 is imaginary

• 9 is real and my girlfriend is imaginary

What's the vertical axis on the Complex plane called?

• real axis

• x axis

• unreal axis

• imaginary axis

Simplify:            

 $\left(\frac{i^3}{4}\right)^{55}$  

•  $\frac{i}{4^{55}}$  

•  $\frac{-i}{4^{55}}$  

•  $\frac{1}{4^{55}}$  

•  $\frac{-1}{4^{55}}$  

• Simplify

  -81

   

• First, Multiply each exponent by 2.

  (-9)² i⁶ 

• Second, i⁶ is equal to i² because if you divide 6 by 4 the remainder is 2

  (-9)²i²

• Then, multiply -9 times -9 and replace i² with -1

  81(-1)