Answer:
[tex]6^{\frac{1}{5} }=\sqrt[5]{6}[/tex]
[tex]6^{\frac{7}{5} }=\sqrt[5]{6^7}[/tex]
[tex]6^{\frac{1}{6} }=\sqrt[6]{6}[/tex]
[tex]7^{\frac{1}{2} }=\sqrt[2]{7}[/tex]
[tex]7^{\frac{5}{2} }=\sqrt[2]{7^5}[/tex]
[tex]6^{\frac{9}{2} }=\sqrt[2]{6^9}[/tex]
Step-by-step explanation:
A radical is the root operation for n roots such as square root or cuberoot in the form [tex]\sqrt[n]{x}[/tex]. A fraction exponent [tex]x^{m/n}[/tex] can be converted to the radical form.
[tex]6^{\frac{1}{5} }=\sqrt[5]{6}[/tex]
[tex]6^{\frac{7}{5} }=\sqrt[5]{6^7}[/tex]
[tex]6^{\frac{1}{6} }=\sqrt[6]{6}[/tex]
[tex]7^{\frac{1}{2} }=\sqrt[2]{7}[/tex]
[tex]7^{\frac{5}{2} }=\sqrt[2]{7^5}[/tex]
[tex]6^{\frac{9}{2} }=\sqrt[2]{6^9}[/tex]
