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Math Help - take a power of -1 out

  1. #1
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    take a power of -1 out

    Just a quickie...

    is

    (-\frac{2}{4}u^{-4}-\frac{7}{5}u^{-5}) = -\frac{1}{20}u^{-4}(10+28u^{-1})

    correct?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    yes.
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  3. #3
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    yes your correct due to rules of indices i.e.  u^{-4}.u^{-1} = u^{-4+(-1)} = u^{-5}
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  4. #4
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    Hello, darksupernova!

    \left(-\frac{2}{4}u^{-4}-\frac{7}{5}u^{-5}\right) \;=\; -\frac{1}{20}u^{-4}(10+28u^{-1})

    Correct?

    Assuming that the instructions are: "Factor completely" . . .


    When factoring out a variable, we factor out the "least exponent".


    Example: . 4x^5 + 7x^3 \:=\:x^3(4x^2 + 7)

    . . . . . . . Otherwise, we could claim that:
    . . . . . . . x(4x^4 + 7x^2)\,\text{ and }\,x^2(4x^3 + 6x) are both correct.


    Also, the LCD of \frac{1}{2} and \frac{7}{5} is 10.


    Preferred answer: . -\frac{1}{10}u^{-5}(5u + 14)

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  5. #5
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    thank you very much
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