Solution 34839: Method for Calculating i^i on the TI-83 Plus and TI-84 Plus Family of Graphing Calculators.
Why does the TI-83 Plus and TI-84 Plus family of graphing calculators display a result of .2078795764 for i^i?The result can be computed using Euler's formula:
Taking the square root of both sides of the above equation yields the result:
Raising both sides to the ith power yields:
The ith root of i can be computed similarly.
Please see the TI-83 Plus and TI-84 Plus Family guidebooks for additional information.