更新1:
Actually, to those who obviously are trying to pin me as ignorant to what is written as my question, here's the question word for word: In your own words explain the difference between the following two expressions: (-1)^2/4 and (-1)^1/2
How? What's the difference between (-1)^2/4 and (-1)^1/2?
2009-03-12 10:23 am
I don't know how to explain this?! Math is not explained well in my school.
回答 (6)
2009-03-12 10:27 am
✔ 最佳答案
The first is -1 to the 2nd power with the product being 4th rooted... the latter would be -1 to the first power then square rooted...
make sense?
2009-03-12 10:52 am
Their results are the same and just their written form have difference.
(-1)^(2/4) = (-1)^[(2 ÷ 2)/(4 ÷ 2)] = (-1)^(1/2)
(-1)^(2/4) = (-1)^[(2 ÷ 2)/(4 ÷ 2)] = (-1)^(1/2)
2009-03-12 10:46 am
no difference because
2/4 = 2*1/2*2 = 1/2
2/4 = 2*1/2*2 = 1/2
2009-03-12 10:32 am
(-1)^(2/4)
By orders of operations you simplify the exponent first
(-1)^(1/2)
Now it's equal to the second.
By orders of operations you simplify the exponent first
(-1)^(1/2)
Now it's equal to the second.
2009-03-12 10:28 am
none.
2009-03-12 10:41 am
Questions MUST be presented clearly to avoid time being wasted and misunderstanding.
Have to GUESS that you MAY be meaning :-
(i) (-1)^(2/4) = (-1)^(1/2) = (i ²) ^(1/2) = i
OR
(ii) (-1)² / 4 = 1 / 4
AND
(-1) ^(1/2) = (i ²)^(1/2) = i
Have to GUESS that you MAY be meaning :-
(i) (-1)^(2/4) = (-1)^(1/2) = (i ²) ^(1/2) = i
OR
(ii) (-1)² / 4 = 1 / 4
AND
(-1) ^(1/2) = (i ²)^(1/2) = i
收錄日期: 2021-05-01 12:08:54
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090312022306AAayeL2