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1.

FLASHCARD QUESTION

Front

What is the value of $i^{322}$ ?

Back

$-1$

2.

FLASHCARD QUESTION

Front

What is the value of $i^{8}$ ?

Back

$1$

3.

FLASHCARD QUESTION

Front

What is the value of $i^{15}$ ?

Back

$-i$

4.

FLASHCARD QUESTION

Front

What is the value of $i^{6}$ ?

Back

$-1$

5.

FLASHCARD QUESTION

Front

What is the value of $i^{12}$ ?

Back

$1$

6.

FLASHCARD QUESTION

Front

Define the imaginary unit 'i'.

Back

The imaginary unit 'i' is defined as $i = \text{sqrt}(-1)$ .

7.

FLASHCARD QUESTION

Front

What is the pattern of powers of 'i'?

Back

The powers of 'i' cycle every four: $i^1 = i$ , $i^2 = -1$ , $i^3 = -i$ , $i^4 = 1$ .

8.

FLASHCARD QUESTION

Front

How do you simplify $i^{n}$ for any integer n?

Back

To simplify $i^{n}$ , find the remainder of n when divided by 4 and use the cycle: 0 -> 1, 1 -> i, 2 -> -1, 3 -> -i.

9.

FLASHCARD QUESTION

Front

What is $i^{0}$ ?

Back

$i^{0} = 1$ for any non-zero number.

10.

FLASHCARD QUESTION

Front

What is the value of $i^{10}$ ?

Back

$i^{10} = -1$ .

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