aharon3435 aharon3435
  • 30-10-2018
  • Mathematics
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Rewrite n sqrt x^m using rational expression.

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PiaDeveau PiaDeveau
  • 08-11-2018

We are given expression [tex]\sqrt[n]{x^m}[/tex].

We need to convert it in rational exponent expression.

We know the rule for rational exponent expression as following:

[tex]\sqrt[b]{a^c} = a^{\frac{c}{b}}[/tex].

If we compare given radical expression, x is a and it's nth radical.

Therefore, b = n and exponent of x is m. Therefore, m = c.

Therefore, [tex]\sqrt[n]{x^m}[/tex] can be written as  [tex]x^{\frac{m}{n}}[/tex].


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