Question

Help me please if you can

Answer 1

Answer:

B. $\sqrt[7]{81}$

E. $(\sqrt[7]{3})^4$

Step-by-step explanation:

Given radical expression:

$3^{\frac{4}{7}}$

To write the radical in simple expressions.

Solutions:

Rules for radicals.

When exponent is a fraction:

$x^{\frac{1}{a}=\sqrt[a]{x}$

$x^{\frac{b}{a}=\sqrt[a]{x^b}\ or\ (\sqrt[a]{x})^b$

Thus, we can write the expression given as:

$3^{\frac{4}{7}}$

⇒ $\sqrt[7]{3^4}$

⇒ $\sqrt[7]{81}$

Or

$3^{\frac{4}{7}}$

⇒ $(\sqrt[7]{3})^4$