Answer:
B. [tex]\sqrt[7]{81}[/tex]
E. [tex](\sqrt[7]{3})^4[/tex]
Step-by-step explanation:
Given radical expression:
[tex]3^{\frac{4}{7}}[/tex]
To write the radical in simple expressions.
Solutions:
Rules for radicals.
When exponent is a fraction:
[tex]x^{\frac{1}{a}=\sqrt[a]{x}[/tex]
[tex]x^{\frac{b}{a}=\sqrt[a]{x^b}\ or\ (\sqrt[a]{x})^b [/tex]
Thus, we can write the expression given as:
[tex]3^{\frac{4}{7}}[/tex]
⇒ [tex]\sqrt[7]{3^4}[/tex]
⇒ [tex]\sqrt[7]{81}[/tex]
Or
[tex]3^{\frac{4}{7}}[/tex]
⇒ [tex](\sqrt[7]{3})^4[/tex]
