Answer:
[tex]a^{\frac{1}{7}}[/tex].
Step-by-step explanation:
The given property is
[tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex] ...(i)
The given expression is
[tex]\sqrt[7]{a}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]n=7[/tex]
Using (i), the given expression can be written as
[tex]\sqrt[7]{a}=a^{\frac{1}{7}}[/tex]
Therefore, the required expression is [tex]a^{\frac{1}{7}}[/tex].