Respuesta :

r3t40

Two rules come in handy here:

  • [tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]
  • [tex]\sqrt[c]{x^r}=x^{\frac{r}{c}}[/tex]

So we have

[tex]

\dfrac{\sqrt[4]{6}}{\sqrt[5]{6}}=\dfrac{6^{\frac{1}{4}}}{6^{\frac{1}{5}}}=6^{1/4-1/5}=\boxed{6^{9/20}}

[/tex]

The answer is B.

Hope this helps.

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