Question

100 points! If a1/n = n√a What is an equivalent form of 7√a ?

Answer 1

`a^{(1)/(7)}`.

Explanation:

The given property is

`a^{(1)/(n)}=\sqrt[n]{a}` ...(i)

The given expression is

`\sqrt[7]{a}` ...(ii)

On comparing (i) and (ii), we get

`n=7`

Using (i), the given expression can be written as

`\sqrt[7]{a}=a^{(1)/(7)}`

Therefore, the required expression is
`a^{(1)/(7)}`.