I have a confusion on a quite basic math thing. Fractional exponent.
For example:
64^1/6
What do I do with this? I know the answer is 2 but
64^1/6 ----> ? ---> 2
Simple Maths Confusion
2009-05-16 4:15 am
回答 (3)
2009-05-16 6:15 am
✔ 最佳答案
In a simple way, I can explain in this way:64^ (1/6) = 2
L.H.S = 64^ (1/6)
= (2^6)^(1/6)
= 2^(6/6)
= 2
= R.H.S.
Also, there is a formula that:
"x^(m/n) = n√x^m"
Therefore, we may also use this to find out:
64^(1/6)
= 6√64
= 2
參考: me
2009-05-16 1:11 pm
You should just remember the below formula:
a^1/m ----> m√a (m th root of a)
a^1/m ----> m√a (m th root of a)
2009-05-16 4:30 am
64^(1/6)
=[2*2*2*2*2*2]^(1/6)
=[2^6]^(1/6)
=2^(6*1/6)
=2^1
=2
we have (a^b)^c=a^(b*c)
=[2*2*2*2*2*2]^(1/6)
=[2^6]^(1/6)
=2^(6*1/6)
=2^1
=2
we have (a^b)^c=a^(b*c)
收錄日期: 2021-04-13 16:37:18
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https://hk.answers.yahoo.com/question/index?qid=20090515000051KK01382