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Math Help - Ratinal Exponents

  1. #1
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    Ratinal Exponents

    Hey, whats up guys? New here,

    Alright how would I write this as an expoent?

    <br />
[squareroot]3x^5<br />

    Seems like it might be simple for some of you but I can't figure it out, the answers telling me 3^1/2X5/2

    Im stumped. And yeah, move it if its in the wrong section. Thanks guys
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  2. #2
    MHF Contributor
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    Quote Originally Posted by abc10 View Post
    Hey, whats up guys? New here,

    Alright how would I write this as an expoent?

    <br />
[squareroot]3x^5<br />

    Seems like it might be simple for some of you but I can't figure it out, the answers telling me 3^1/2X5/2

    Im stumped. And yeah, move it if its in the wrong section. Thanks guys

    \sqrt{3x^5}=\sqrt{3}\times\sqrt{x^5}

    Then remember that (\sqrt[a]{3})^b=3^{\frac{b}{a}}
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  3. #3
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    okey dokey....thanks a lot

    whats -9^.5

    My calculator tells me error 2 (lol) the answers are telling me -3...how do I attack this queston?
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  4. #4
    MHF Contributor
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    Quote Originally Posted by abc10 View Post
    okey dokey....thanks a lot

    whats -9^.5

    My calculator tells me error 2 (lol) the answers are telling me -3...how do I attack this queston?
    DO notice that (-9)^{0.5} and -9^{0.5} are totally 2 different thing . Brackets play a very important role .

    So (-9)^{0.5} is undefined because you cant square root a negative number .

    -9^{0.5} will give you -3 .
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