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# Powers of $i$ (Grades 11-12)

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## Powers of $i$

1.
Which of the following is equal to $i^3$?
1. $-i$
2. $i^2$
3. $1$
4. $-1$
2.
If $i^2=-1$, then what is the value of $i^32$?
1. $-1$
2. $1$
3. $-i$
4. $i$
3.
Simplify completely. $i^16$
1. $1$
2. $-i$
3. $-1$
4. $i$
4.
Simplify. $i^46$
1. $i^4$
2. $i^3$
3. $-1$
4. $1$
5.
Simplify. $i^26$
1. $i^2$
2. $i$
3. $1$
4. $-1$
6.
What is $i^48$?
1. $i$
2. $-1$
3. $-i$
4. $1$
7.
Simplify. $i^39$
1. $i^3$
2. $i^9$
3. $-i$
4. $-1$
8.
What does $i^45$ equal?
1. $i$
2. $-i$
3. $1$
4. $-1$
9.
What is $i^202 ?$
1. $i$
2. $-1$
3. $-i$
4. $1$
10.
Simplify. $i^206$
1. $-1$
2. $sqrt(-1)$
3. $1$
4. $-i$
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