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Math Help - Power problem

  1. #1
    crzster
    Guest

    Exclamation Power problem

    I am revising for my alevels after xmas and am stuck on a problem.

    (1/27)^(1/3)

    This is in my revision guide and it says the answer is 3,
    But i just keep getting 1/3.

    Could someone please answer this and show me how it was done.

    Please email the solution to:
    crzster@hotmail.com

    Thankyou.
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  2. #2
    Member
    Joined
    Nov 2005
    From
    Wethersfield, CT
    Posts
    92
    Hi:

    27^(1/3) =3. That is, the cube root of 27 is 3. This is true because 3^3=27. Now, recall the property of exponents that asserts (a^m)/(b^m)=(a/b)^m. From this property and the fact that 27^(1/3)=3, we have (1/27)^(1/3)=[1^(1/3)]/[27^(1/3)]=1/3. So, congratulations! You were correct all along.

    Regards,

    Rich B.
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