i¹⁰ is equal to ______?
i¹⁰ is equal to ______?
Explanation
The powers of i (the imaginary unit) repeat in a cycle of 4:
i¹ = i, i² = -1, i³ = -i, i⁴ = 1.
Since 10 ÷ 4 gives a remainder of 2, i¹⁰ = i² = -1.
The powers of i (the imaginary unit) repeat in a cycle of 4:
i¹ = i, i² = -1, i³ = -i, i⁴ = 1.
Since 10 ÷ 4 gives a remainder of 2, i¹⁰ = i² = -1.