Flashcard 9 - Upper Level: Mathematics Achievement Flashcard Set for the ISEE

\[i^1 = i\] \[i^2 = -1\] \[i^3 = -i\] \[i^4 = 1\]

Knowing this cycle is important for answering questions involving imaginary and complex numbers. It simplifies solutions, e.g., \(i^{24}\). The exponent is 24; it’s a multiple of 4, so the value of the expression is 1.