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i^24 =

i^9=

2007-05-05 12:42:27 · 3 answers · asked by erik m 1 in Science & Mathematics Mathematics

3 answers

±5 = √25
±7 = √49
√(-1) = ì

√(- 25/ 49)
√(25/49)(-1)
± 5/7 ì

ì^9 =(√-1)^3*(√-1)^3*(√-1)^3
ì^9 =(-ì)*(-ì)*(-ì)
ì^9 =(+ì²)*(-ì)
ì^9 =(-1)*(-ì)
ì^9 = + ì

ì^12 =(√-1)^3*(√-1)^3*(√-1)^3*(√-1)^3
ì^12 = (+ ì)*(-ì)
ì^12 = -ì²
ì^12 = -(-1)
ì^12 = +1

ì^2 4= (ì^12)(ì^12)
ì^2 4= (+1)(+1)
ì^2 4= +1

2007-05-05 13:27:01 · answer #1 · answered by Sparks 6 · 0 0

+ or - (5/7)i

i^24=1
i^9=i

2007-05-05 13:04:12 · answer #2 · answered by Robert S 2 · 0 0

(5/7)i, -(5/7)i

2007-05-05 12:49:26 · answer #3 · answered by Robert L 7 · 0 0

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