2007-02-05 18:40:58 · 4 answers · asked by bugssy 1 in Science & Mathematics ➔ Mathematics
Using the Euler formula, i = e^(i π/2).
So i^i = (e^(i π/2))^i = e^(i(i π/2)) = e^(-π/2).
2007-02-05 19:11:37 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋
i is what is known as an imaginary number and is used widely in electronics and physics.
It is necessary to accept the basic definition of i which is given by i² = - 1 and it is from this definition that the expression i = sqrt (-1) is obtained.
This leads to:-
i³ = i x i² = i x (-1 ) = - i
i^4 = i² x i² = -1 x -1 = 1
i^5 = i^4 x i = 1 x i = i
etc
2007-02-06 03:58:04 · answer #2 · answered by Como 7 · 0⤊ 1⤋
-1
2007-02-06 03:14:10 · answer #3 · answered by Hk 4 · 0⤊ 1⤋
Since square root is like doing -1^1/2 if you do (-1^1/2)^2 you will get: -1 !
2007-02-06 02:48:16 · answer #4 · answered by Anonymous · 0⤊ 1⤋