Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half? x Superscript one-half Baseline y Superscript 4 x Superscript one-eighth Baseline y Superscript 8 x Superscript one-fourth Baseline y Superscript 8 x Superscript one-fourth Baseline y Superscript 4.

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

ehsket

Answer:

B. x^1/8 y^8

Step-by-step explanation:

edge 2022