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Thread: simplifying w/ fractional exponents: (a - b)^3/2

  1. #1

    simplifying w/ fractional exponents: (a - b)^3/2

    I need to get the expression (a-b)^3/2 in the form b^x * ((a/b)-1)^3/2

    what is x? 1 or 3/2? or ?

    for clarity: x is exponent on b when b is factored out.

    thanks

  2. #2
    Elite Member stapel's Avatar
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    Quote Originally Posted by ivandoig
    I need to get the expression (a-b)^3/2 in the form b^x * ((a/b)-1)^3/2
    I wouldn't say that this is "simplifying" the original expression at all, though it is a rearrangement of sorts....

    Since b divided by b is 1 and a divided by b is a/b, it would appear that perhaps a good first step might be to multiply (inside the radical) by b/b. The numerator can come out of the radical, and the denominator divided into what's left inside.

    What do you end up with as the power on b outside the radical?

    Eliz.

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    Re: simplifying w/ fractional exponents: (a - b)^3/2

    [tex](a^x)(b^x)=(ab)^x[/tex] so [tex]x=\frac{3}{2}[/tex].
    “A professor is someone who talks in someone else’s sleep”
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