Question

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Explanation:

Identify the given expression

Using the Complex Numbers and Imaginary Numbers knowledge points

$$ 7i^{33} $$

Determine the cycle of powers of i

Using the Imaginary Numbers knowledge point

$$
LATEXBLOCK0
$$

Reduce the exponent modulo 4

Using the Imaginary Numbers knowledge point

$$
LATEXBLOCK1
$$

Simplify the final expression

Using the Complex Numbers knowledge point

$$ 7i^{33} = 7(i) = 7i $$

Answer:

• -7i
• 7i (Correct answer)
• 7
• -7