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Math Help - What is rt x/x^2 in the form x^n?

  1. #1
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    What is rt x/x^2 in the form x^n?

    What is rt x/x^2 in the form x^n? So that the answer is x^something. Most importantly please explain how you work it out. Thanks.
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  2. #2
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    \frac{x}{x^2}=\frac{x}{x\times x} = \frac{1}{x}= x^{-1} ??
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  3. #3
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    Don't you think it would help to tell us what "rt" means? I might guess it means "root" but then which root? Square root probably- that is normally written as "sqrt(x)", not just "rt(x)". And "rt x/x^2" leaves it unclear whether you mean sqrt(x)/x^2 or sqrt(x/x^2).

    In any case, you need to know that x^n/x^m= x^{m-n}, that (x^a)^b= x^{ab} and that \sqrt{x}= x^{1/2}

    \frac{\sqrt{x}}{x^2}= \frac{x^{1/2}}{x^2}= x^{1/2- 2}.

    \sqrt{\frac{x}{x^2}}= \sqrt{x^{1- 2}}= \left(x^{-1})^{1/2}.
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    Quote Originally Posted by HallsofIvy View Post
    Don't you think it would help to tell us what "rt" means?
    Good call H.O.I, I saw it as 'respect to' totally out of context!
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    Sorry yes by rt x i mean sqrt ( square root )
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  6. #6
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    (sqrt x)/x^2 in the form x^n
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  7. #7
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    Quote Originally Posted by mmmaths View Post
    (sqrt x)/x^2 in the form x^n
    \dfrac{\sqrt{x}}{x^2}=x^{\frac{1}{2}}x^{-2}=x^{(-2+\frac{1}{2})}

    etc

    CB
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