Respuesta :

Answer:

[tex] {n}^{16} \times 1 \div 4 \\ {n}^{4}[/tex]

Step-by-step explanation:

4 times 4 is 16 so while both are in power so we can do this like that

For this case we have the following expression:

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

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, rewriting the expression we have:

[tex]N ^ {\frac {16 * 1} {4}} =\\N ^ {\frac {16} {4}} =\\N ^ 4[/tex]

Thus, the expression is reduced to [tex]N ^ 4[/tex]

Answer:

[tex]N ^ 4[/tex]