Simplify: i^18?

3 ⤊

Simplify: i^18

-1

-i

i

1

2007-12-16 06:05:00 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

i ² = - 1
i ^(18) = ( i ² )^9 = (-1)^9 = - 1

2007-12-20 03:13:44 · answer #1 · answered by Como 7 · 2⤊ 0⤋

i^18 = i^(16+2) = i^2 = -1, since i^4 = 1, and thus i^16 = (i^4)^4 = 1

2007-12-16 14:08:12 · answer #2 · answered by sahsjing 7 · 1⤊ 1⤋

hey its so simple concentrate here :-
i^18 = i^(16+2) = i^16 * i^2 = (i^4)^4 * (-1) = 1*(-1) = -1 ....
that solve my dear ?

2007-12-16 14:18:35 · answer #3 · answered by Anonymous · 0⤊ 1⤋

one

2007-12-16 14:08:16 · answer #4 · answered by Nur S 4 · 0⤊ 2⤋