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-   -   Pre Cal : Fractions with Fractions as exponents (https://www.askmehelpdesk.com/showthread.php?t=148227)

  • Nov 3, 2007, 06:08 PM
    Slimboyie
    Pre Cal : Fractions with Fractions as exponents
    Can someone explain to me how to solve this equation:

    (4/9)-1/2*



    *Exponent


    ??
  • Nov 4, 2007, 05:31 PM
    terryg752
    Quote:

    Originally Posted by Slimboyie
    Can someone explain to me how to solve this equation:

    (4/9)-1/2*



    *Exponent


    ???

    (4/9)-1/2*

    = (9/4)1/2*

    = Square root of (9/4)

    = (Square root of 9)/(Square root of 4)
  • Nov 11, 2007, 11:33 AM
    nycfunction
    Quote:

    Originally Posted by Slimboyie
    Can someone explain to me how to solve this equation:

    (4/9)-1/2*



    *Exponent


    ???

    RULE:

    a^(-b) = 1/a^(b)

    We can use this rule to solve your negative fractional exponent question.

    4/9 raised to the negative fraction -1/2 becomes 1/(4/9)^(1/2)... Notice that the fraction 1/2 became POSITIVE when moved to the right side of the equation. See it?

    Our denominator--->this guy--> (4/9)^(1/2) can be written as a square root. We now have the square root of 4/9, which 2/3.

    Our new fraction is 1/(2/3).

    What is 1 divided by 2/3?

    Final answer: 3/2.
  • Oct 20, 2011, 03:17 PM
    bryndle
    (x^(1/2)-2x^(-1/2))/(x^(-1/2))
  • Oct 21, 2011, 06:13 AM
    ebaines
    bryndle - please do not tag a new question onto an old thread. Instead you should start a new question. But to help out...

    Remember that:



    For example:


    can you take it from here?

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