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Thread: Help with an exponent

  1. #1
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    Help with an exponent

    Im trying to learn algebra because i slacked in highschool so my friend is teaching me but is at school and i cant figure out how to do a problem. my issue is im not sure what to do with the 3/2. The directions say to "Perform the operations and simplify"





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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Help with an exponent

    Do you know the important basic rules like $\displaystyle x^{a}\cdot x^{b}=x^{?}$, $\displaystyle (x^{a})^{b}=x^{?}$ and $\displaystyle \frac{x^{a}}{x^{b}}=x^{?}$
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  3. #3
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    Re: Help with an exponent

    Use the following identities:

    $\displaystyle (uv)^a=u^av^a$

    $\displaystyle (u^a)^b=u^{ab}$

    $\displaystyle \frac{u^a}{u^b}=u^{a-b}$ if $\displaystyle u\ne0$.

    So, every time you see an expression that matches the left-hand side of an identity, you can rewrite the expression. For example, $\displaystyle (2x^2)^{3/2}$ matches $\displaystyle (uv)^a$ where $\displaystyle u=2$, $\displaystyle v=x^2$ and $\displaystyle a=3/2$. Therefore, $\displaystyle (2x^2)^{3/2}=2^{3/2}(x^2)^{3/2}$.

    It is also pretty easy to use mathematical notation on this forum. For example, [TEX]2^{3/2}(x^2)^{3/2}[/TEX] produces $\displaystyle 2^{3/2}(x^2)^{3/2}$. Note that if the exponent consists of more than one symbol, it has to be wrapped in {}. You can also click "Reply with Quote" button to see the code of any post.
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  4. #4
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    Re: Help with an exponent

    My friend ended up being able to help me, thanks anyways. sorry for the late response.

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  5. #5
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    Re: Help with an exponent

    Well, what is your answer?
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  6. #6
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    Re: Help with an exponent

    2 over x
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  7. #7
    MHF Contributor Siron's Avatar
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    Re: Help with an exponent

    Quote Originally Posted by Ritzon View Post
    2 over x
    Correct!
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