Respuesta :
[tex]In\\general
\\ a^{ \frac{x}{y} } = \sqrt[y]{a^{x}}
For our example,
\\ \\6^{ \frac{7}{12} = \sqrt[12]{6^{7}} [/tex]
Answer:
To write the expression [tex]6^{\frac{7}{12}}[/tex] in radical form.
To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.
Use the rule:
[tex]a^{\frac{x}{y}} = \sqrt[y]{a^x}[/tex]
Apply this rule on the the given expression:
[tex]6^{\frac{7}{12}}[/tex]
=[tex]\sqrt[12]{6^7}[/tex]
Therefore, the expression [tex]6^{\frac{7}{12}}[/tex] in radical form is [tex]\sqrt[12]{6^7}[/tex]
