Respuesta :
The simplified form of the indices is [tex]x^{1/8}y^8[/tex]
Given the expression:
[tex](x^{1/4}y^{16})^{1/2}[/tex]
Using the law of indices below:
[tex](a^m)^n=a^{mn}[/tex]
Multiplying the power will give:
[tex]=(x^{1/4})^{1/2} \cdot (y^{16})^{1/2}\\=x^{1/8}\cdot y^8\\[/tex]
Hence the simplified form of the indices is [tex]x^{1/8}y^8[/tex]
Learn more on indices here: https://brainly.com/question/8952483