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Math Help - need help putting into words

  1. #1
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    need help putting into words

    I need to show which of the two expressions is larger and explian why. I know which is the larger number,but can not put it into words to explain. Anyone have any ideas?

    a) (1/2)'2 or (1/3)'3

    b)(1/3)'-2 or (1/3)'-3

    *Note: (1/2)'2 is "one half squared"*
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  2. #2
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    Quote Originally Posted by math619 View Post
    I need to show which of the two expressions is larger and explian why. I know which is the larger number,but can not put it into words to explain. Anyone have any ideas?

    a) (1/2)'2 or (1/3)'3

    b)(1/3)'-2 or (1/3)'-3

    *Note: (1/2)'2 is "one half squared"*
    (1/2)^2=1/4
    (1/3)^2=1/9

    Now, what is larger?
    Taking something and dividing it into 4 parts of equal length, or taking something dividing it into 9 parts of equal length?
    Surly the first one.
    Thus,
    1/4>1/9
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  3. #3
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    Quote Originally Posted by math619 View Post
    I need to show which of the two expressions is larger and explian why. I know which is the larger number,but can not put it into words to explain. Anyone have any ideas?

    a) (1/2)'2 or (1/3)'3

    b)(1/3)'-2 or (1/3)'-3

    *Note: (1/2)'2 is "one half squared"*
    (1/2)^2=1/4=9/36
    (1/3)^2=1/9=4/36
    Now you can compare, 9/36>4/36, 1/4>1/9.
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  4. #4
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    Quote Originally Posted by math619 View Post
    I need to show which of the two expressions is larger and explian why. ...

    b)(1/3)'-2 or (1/3)'-3
    Hello,

    with negative exponents you have to use the following property:

    a^{-n}=\frac{1}{a^n}

    \left(\frac{1}{3}  \right)^{-2}=\frac{1}{\left(\frac{1}{3}  \right)^2}=\frac{1}{\frac{1}{9}}=9

    \left(\frac{1}{3}  \right)^{-3}=\frac{1}{\left(\frac{1}{3}  \right)^3}=\frac{1}{\frac{1}{27}}=27

    Now you can compare!

    EB
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