How? What's the difference between (-1)^2/4 and (-1)^1/2?

👨🏻‍🏫 學術台數學

[匿名]

2009-03-12 10:23 am

I don't know how to explain this?! Math is not explained well in my school.

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

回答 (6)

[匿名]

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?

👍 1 👎 0

An ESL Learner

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)

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[匿名]

2009-03-12 10:46 am

no difference because

2/4 = 2*1/2*2 = 1/2

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[匿名]

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.

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nozar nazari

2009-03-12 10:28 am

none.

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Como

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

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