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Math Help - equations involving rational exponents problem

  1. #1
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    equations involving rational exponents problem

    (t - 1) ^-2/3 = 2

    the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

    my steps:

    1. raise each side a neg 3 to elimate neg 2

    2. the 2 becomes 1/8

    3. apply even root property

    t-1 = + or - 1 / 2 times sq rt of 2 and from there i know i srewed up, any tips would be great
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  2. #2
    Junior Member BERMES39's Avatar
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    Re: equations involving rational exponents problem

    Try this way
    Attached Thumbnails Attached Thumbnails equations involving rational exponents problem-scan0003.jpg  
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  3. #3
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    Re: equations involving rational exponents problem

    i dont get how you went from step 2 to 3
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  4. #4
    Junior Member BERMES39's Avatar
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    Re: equations involving rational exponents problem

    Here it is in more detail
    Attached Thumbnails Attached Thumbnails equations involving rational exponents problem-scan0006.jpg  
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  5. #5
    Junior Member mrmohamed's Avatar
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    Re: equations involving rational exponents problem

    Quote Originally Posted by mathmathmathmathmathmathm View Post
    (t - 1) ^-2/3 = 2

    the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

    my steps:

    1. Raise each side a neg 3 to elimate neg 2

    2. The 2 becomes 1/8

    3. Apply even root property

    t-1 = + or - 1 / 2 times sq rt of 2 and from there i know i srewed up, any tips would be great
    hi all
    Attached Thumbnails Attached Thumbnails equations involving rational exponents problem-codecogseqn-27-.gif  
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  6. #6
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    Clarksville, ARk
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    Re: equations involving rational exponents problem

    Quote Originally Posted by mathmathmathmathmathmathm View Post
    (t - 1) ^-2/3 = 2

    the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}

    my steps:

    1. raise each side a neg 3 to eliminate neg 2

    2. the 2 becomes 1/8

    3. apply even root property

    t-1 = + or - 1 / (2 times sq rt of 2) and from there i know i screwed up. Any tips would be great.
    The method in your Original Post looks fine as far as you went, with the addition of the above parentheses.

    t-1=\pm\frac{1}{2\sqrt{2}}
    =\pm\frac{\sqrt{2}}{4}
    Therefore, t=1\pm\frac{\sqrt{2}}{4}\,.

    Added in Edit:
    Looks like mrmohamed beat me to it.
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