What is the value of i raised to the power of 0 (i⁰)?

When exploring the value of a number raised to the power of 0, there is a foundational rule in mathematics that states any non-zero number raised to the power of 0 equals 1. This applies not just to real numbers but also to complex numbers, which includes ( i ), the imaginary unit defined as ( \sqrt{-1} ).

In this case, ( i ) is not zero; therefore, ( i^0 ) follows the same rule. No matter what the base is (as long as it’s not zero), raising it to the power of 0 results in 1. This principle underlies the answer, confirming that ( i^0 = 1 ).

Other options like 0, ( i ), and -1 do not align with mathematical conventions regarding the powers of numbers raised to zero, further solidifying that the right answer expresses the universal truth of this exponentiation rule.