1 ^ (1/2) = 1 .....why
謝
1 ^ (1/2) = 1 .....why
2011-05-15 3:10 pm
回答 (3)
2011-05-15 4:32 pm
✔ 最佳答案
1^1 = 1 = 1 x 1Also,1^1 = 1^(1/2 + 1/2) = 1^(1/2) x 1^(1/2) by index law a^m x a^n = a^(m + n).
so 1^(1/2) = 1.
2011-05-15 6:52 pm
1 = 1 + 0i
1 = cos0° + isin0°
1^(1/2) = (cos0° + isin0°)^1/2
By De Moivre theorem,
1^(1/2) = cos[0*(1/2)]° + isin[0*(1/2)]°
1^(1/2) = cos0° + isin0°
1^(1/2) = 1
1 = cos0° + isin0°
1^(1/2) = (cos0° + isin0°)^1/2
By De Moivre theorem,
1^(1/2) = cos[0*(1/2)]° + isin[0*(1/2)]°
1^(1/2) = cos0° + isin0°
1^(1/2) = 1
2011-05-15 4:36 pm
1 ^ (1/2)
即係 「1 嘅開方」
而「1嘅開方」, 即問你 :
「什麼數字」自乘一次後, 會 = 1
那當然是「1」
即係 「1 嘅開方」
而「1嘅開方」, 即問你 :
「什麼數字」自乘一次後, 會 = 1
那當然是「1」
收錄日期: 2021-04-25 22:39:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110515000051KK00178