The discussion centers on solving the expression i^(-21/2), where i represents the imaginary unit. Participants clarify that i can be expressed in exponential form as e^(π/2 i), allowing for the calculation of i^(-21/2) using trigonometric identities. The correct solution is derived as (−1+i)/√2, while some participants mistakenly assert that the answer is simply -i. The conversation emphasizes the importance of understanding complex exponentiation and the distinction between different forms of the solution. Ultimately, the correct interpretation and calculation of the expression is confirmed.