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Math Help - Fractions with a fractional indice

  1. #1
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    Fractions with a fractional indice

    Last thread for a while I hope (lol!).

    I apologise for the formatting in advance...

    Evaluate (1/4)^5/2



    I've just done (1/2)^-2 and I got (2/1)^2 which is fine, but the fractional indice has thrown me off track.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jamie88 View Post
    Last thread for a while I hope (lol!).

    I apologise for the formatting in advance...

    Evaluate (1/4)^5/2



    I've just done (1/2)^-2 and I got (2/1)^2 which is fine, but the fractional indice has thrown me off track.
    see post #3 here
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  3. #3
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    So it owuld be...

    Square root of 1/4^5 ?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jamie88 View Post
    So it owuld be...

    Square root of 1/4^5 ?
    well, yeah, but what is that? that can be greatly simplified
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  5. #5
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    0.25^5 = 0.000976562
    Square root of 0.000976562 is 0.031249992
    S0 would 0.031 be an appropriate answer?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jamie88 View Post
    0.25^5 = 0.000976562
    Square root of 0.000976562 is 0.031249992
    S0 would 0.031 be an appropriate answer?
    no.

    \left( \frac 14 \right)^{5/2} = \left( \sqrt{\frac 14} \right)^5 = \left( \frac 12 \right)^5 = \frac 1{32}
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  7. #7
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    Oh right I see!
    Just a quick question...

    How does the squareroot of (1/4)^5 equal the same as (1/2)^5 ?

    Thank you.
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jamie88 View Post
    Oh right I see!
    Just a quick question...

    How does the squareroot of (1/4)^5 equal the same as (1/2)^5 ?

    Thank you.
    \sqrt{ \frac 14} = \frac {\sqrt{1}}{\sqrt{4}} = \frac 12
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