Question:

What is (54)^1/3, thanks?

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What is (54)^1/3, thanks?

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  1. The denominator of a fractional power is defined as a root.

    For example

    8^(1/3) is the Cube root of 8, or 2.

    Note that when you raise a power to another power, you multiply...

    (2^3)^2 = 2^6

    So

    (2^3)^(1/3) = 2^(3*1/3) = 2^1 = 2

    To answer your question....

    54 = 2*27

    The cube root of 27 is 3  (3*3*3 = 27)

    54^(1/3) = 3*2^(1/3) = 3 times the cube root of 2 = approx. 3.77976315


  2. I get approximately 3.77976.

  3. (54)^ 1/3 can be seen as (2*27)^ 1/3

    = (2)^ 1/3 * (27)^1/3

    = 3* (2^ 1/3)

    = 3*1.259921

    = 3.77976

    You can use (anti)log tables for it.

  4. 54^(1/3) = the cube root of 54.

  5. 54^(1/3)

    = ³√54

    = 3.7797631496846193...

  6. 3 cube rt. of 2

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