Question

Help me please if you can

Answer 1

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

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

Explanation:

Given radical expression:

`3^{(4)/(7)}`

To write the radical in simple expressions.

Solutions:

Rules for radicals.

When exponent is a fraction:

`x^{(1)/(a)=\sqrt[a]{x}`

`x^{(b)/(a)=\sqrt[a]{x^b}\ or\ (\sqrt[a]{x})^b`

Thus, we can write the expression given as:

`3^{(4)/(7)}`

⇒
`\sqrt[7]{3^4}`

⇒
`\sqrt[7]{81}`

Or

`3^{(4)/(7)}`

⇒
`(\sqrt[7]{3})^4`