If $z=-2+2 \sqrt{3} i$, then $z^{2 n}+2^{2 n} z^n+2^{4 n}$ may be equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

z=-2+2 \sqrt{3} i

, then

z^{2 n}+2^{2 n} z^n+2^{4 n}

may be equal to

View answer and explanation

Correct option: C

3 \cdot 4^{2 n}, n

is multiple of 3

Option C (

3 \cdot 4^{2n}, n

is multiple of 3) is correct because when n is a multiple of 3, the expression simplifies to this value.

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