Respuesta :

Answer:

The answer is

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]

[tex] {x}^{ \frac{4}{6} } [/tex]

[tex] = {x}^{ \frac{2}{3} } [/tex]

Rewriting it in radical form

We have the final answer as

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Hope this helps you

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