Algebra 2 ) K. 8 Powers of I EUT Which number equals \( i^{3} \) ? \( -i \) 1 \( i \) \( -1 \)

To find \( i^{3} \), you can use the fact that \( i \) is the imaginary unit defined as \( \sqrt{-1} \). The powers of \( i \) cycle every four terms: \( i^{1} = i \), \( i^{2} = -1 \), \( i^{3} = -i \), and \( i^{4} = 1 \). Therefore, \( i^{3} \) equals \( -i \). In real-world applications, understanding powers of \( i \) is crucial in electrical engineering, particularly in analyzing alternating current (AC) circuits. Engineers use complex numbers, including powers of \( i \), to represent voltage and current phasors, enabling efficient calculations for circuit behavior and design!