halinHpinshu
halinHpinshu halinHpinshu
  • 20-07-2016
  • Mathematics
contestada

How to get rid of fraction exponents?. for example: x^(1/2)

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apologiabiology
apologiabiology apologiabiology
  • 20-07-2016
remember
[tex]x^{ \frac{m}{n} }= \sqrt[n]{x^m} [/tex]

so
[tex]x^{ \frac{1}{2} }= \sqrt[2]{x^1} [/tex] or √x

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taskmasters
taskmasters taskmasters
  • 21-07-2016
Fractional exponents are also called radicals or rational exponents. To get rid of this type of exponents, we remember the law of exponents when we multiply them. For instance,

x^1/2

x^1/2 ( x^1/2 ) = x^(1/2+1/2) = x^(1) = x

Therefore, x^1/2, when 2 times in a multiplication gives x and so x^1/2 is the square root of x.


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