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Math Help - simple question but forgot how to solve

  1. #1
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    simple question but forgot how to solve

    (8a^8)^.5
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  2. #2
    Master Of Puppets
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    You can't sovle it unless it has an equals sign.
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  3. #3
    Senior Member Stroodle's Avatar
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    I think you mean simplify, not solve?

    (8a^8)^{\frac{1}{2}}

    =(2^3a^8)^{\frac{1}{2}}

    =2^{\frac{3}{2}}a^{\frac{8}{2}}

    =2^{\frac{3}{2}}a^4

    =2\sqrt{2}a^4
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  4. #4
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    haha okay so what does it equal
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by PrincessIsrael View Post
    (8a^8)^.5
    Did you mean simplify?

    A nice way to do this: factor the radicand (do you know what that is?) using the largest factors you can find the square root of. then break the problem into two sqaure roots. In the first, throw everything that simplifies, in the last, everything that doesn't

    \sqrt{8a^8} = \sqrt{4 \cdot 2 \cdot a^8}

    = \sqrt{4a^8} \cdot \sqrt 2

    = 2a^4 \sqrt 2
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  6. #6
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    Quote Originally Posted by PrincessIsrael View Post
    haha okay so what does it equal
    You were just told what the answer is!
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