Anonymous
Anonymous asked in 科學及數學數學 · 1 decade ago

Simple Maths Confusion

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

3 Answers

Rating
  • 1 decade ago
    Favorite Answer

    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

    Source(s): me
  • 1 decade ago

    You should just remember the below formula:

    a^1/m ----> m√a (m th root of a)

  • 1 decade ago

    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)

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