Answer:
[tex]a=x^{n}[/tex]
Step-by-step explanation:
The given algebraic equation is [tex]\sqrt[n]{a}=x[/tex]
We can rewrite the equation as [tex]a^{\frac{1}{n}}=x[/tex]
Now we further simplify the equation as below.
[tex](a^{\frac{1}{n}})^{n}=(x)^{n}[/tex]
[tex]a=x^{n}[/tex]
Therefore the algebraic equation is equivalent to [tex]a=x^{n}[/tex]
