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Math Help - Simplest index notation

  1. #1
    Member Mr Rayon's Avatar
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    Simplest index notation

     <br />
Write  in simplest index notation.


     <br />
\frac{8\times5^2}{2^3\times10} <br />


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  2. #2
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    Hello, Mr Rayon!

    \text{Write in simplest index notation: }\;\frac{8\cdot5^2}{2^3\cdot10}
    Not sure what "index notation" means.
    . . I assume it means "with exponents."

    The problem is just arithmetic, isn't it?

    We have: . \frac{8\cdot5^2}{2^3\cdot10} \:=\:\frac{200}{80} \;=\;\frac{5}{2} \;=\;2^{-1}\!\cdot5


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    If we have to use exponents . . .

    . . \frac{8\cdot5^2}{2^3\cdot10} \;=\;\frac{2^3\cdot 5^2}{2^3\cdot(2\cdot5)} \;=\;\frac{2^3}{2^4}\cdot\frac{5^2}{5} \;=\;2^{-1}\!\cdot5

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  3. #3
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    8 * 25 / 8 * 10 = 200 / 80 = 2.5
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  4. #4
    Member Mr Rayon's Avatar
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    This was a silly question. I realised the answer a second after I made this post. The answer was \frac{5}{2}
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