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• Complex Numbers
• Tests in Complex Numbers
• Powers of complex numbers

# Powers of complex numbers

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•  Question 1: 1 pts Is the following statement true or false? $$i^2 = -1$$
•  Question 2: 1 pts Is the following statement true or false? $$i^4 = 1$$
•  Question 3: 2 pts Find $i^6$.
 $1$ $-1$ $i$ $-i$
•  Question 4: 3 pts Find $i^{23}$.
 $1$ $-1$ $i$ $-i$
•  Question 5: 2 pts Find $(1+i)^2$.
 $2$ $-2$ $2i$ $-2i$
•  Question 6: 3 pts Find $(1+i)^{10}$.
 $32$ $-32$ $32i$ $-32i$
•  Question 7: 2 pts Find $(1-i)^2$.
 $2$ $-2$ $2i$ $-2i$
•  Question 8: 3 pts Find $(1-i)^{12}$.
 $64$ $-64$ $64i$ $-64i$
•  Question 9: 2 pts Find $i^{-1}$.
 $1$ $-1$ $i$ $-i$
•  Question 10: 2 pts Find $i^{-15}$.
 $1$ $-1$ $i$ $-i$