Question:medium
If \( z_1 = 2\sqrt{2}(1 + i) \) and \( z_2 = 1 + i\sqrt{3} \), then \( z_1^2 z_2^3 \) is equal to:
If \( z_1 = 2\sqrt{2}(1 + i) \) and \( z_2 = 1 + i\sqrt{3} \), then \( z_1^2 z_2^3 \) is equal to:
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Remember that $e^{i\pi/2} = i$ and $e^{i\pi} = -1$. These rotations on the unit circle allow you to switch back to rectangular form instantly.
Updated On: May 6, 2026
- \( 128i \)
- \( 64i \)
- \( -64i \)
- \( -128i \)
- \( 256 \)
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The Correct Option is D
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