Respuesta :

Answer:

Step-by-step explanation:

nth root of a number 'a' is represented by the expression,

[tex]\sqrt[n]{a}[/tex]

In this expression 'n' = Index of of the radical

[tex]\sqrt[4]{16}[/tex] is called the 4th root of 16.

In [tex]\sqrt[4]{16}[/tex], the index is 4 and the radicand is 16.

4th root of 16 can be represented by [tex]\sqrt[4]{16}[/tex]

[tex]\sqrt[4]{16}=(16)^{\frac{1}{4}}[/tex]

       [tex]=(2^{4})^{\frac{1}{4}}[/tex]

       = 2