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This lesson extends studentsโ understanding of complex numbers by introducing the powers of i. After establishing that i squared equals negative one, the class works through i cubed and i to the fourth, uncovering the repeating cycle that governs all higher powers of i. Recognizing this pattern allows students to simplify expressions efficiently and strengthens their confidence with complex-number operations. These ideas create a solid foundation for future work in advanced algebra and precalculus, where complex numbers play an increasingly important role.
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