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anonymous

  • one year ago

What is the equivalent radical expression for the exponential expression below? 5^1/2

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  1. anonymous
    • one year ago
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    |dw:1436184079378:dw|

  2. anonymous
    • one year ago
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    ?

  3. UsukiDoll
    • one year ago
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    based on what @peachpi wrote... let x = 5 m = 1 and n =2.. plug those values into the right hand side..

  4. UsukiDoll
    • one year ago
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    when you start with an exponential expression and you want to convert to a radical there is a rule (though I forgot what it's called and latex is horrible for me on this one, so I'll borrow @peachpi 's drawing) so, if you are given something in exponential form you use that rule to transform it into a radical form similarly if you're given something in radical form, you use that rule to convert it into an exponential for, .

  5. UsukiDoll
    • one year ago
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    |dw:1436184349117:dw| since you are given \[\LARGE 5^{\frac{1}{2}} \] let x =5, m =1, and n = 2. Now plug those values into the radical version.

  6. anonymous
    • one year ago
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    basically the numerator on the fraction stays where it is, and the denominator becomes the index of the radical

  7. anonymous
    • one year ago
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    ok

  8. UsukiDoll
    • one year ago
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    letting x = 5, m =1, and n = 2 we place these values in here |dw:1436184951464:dw|

  9. UsukiDoll
    • one year ago
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    |dw:1436184976933:dw|

  10. UsukiDoll
    • one year ago
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    However, since n = 2 we're not required to write that number... should you have n = 3,4,5... then we have to write it down because that indicates cube root of x^m, fourth root of x^m, fifth root of x^m.

  11. anonymous
    • one year ago
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    i got it lol

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