## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$2xy^{2}\sqrt[4]{xy^3}$
Extracting the factors that are perfect roots of the given index, the given expression, $\sqrt[4]{16x^5y^{11}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[4]{16x^4y^{8}\cdot xy^3} \\\\= \sqrt[4]{(2xy^{2})^4\cdot xy^3} \\\\= 2xy^{2}\sqrt[4]{xy^3} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.
The text passage provides a step-by-step simplification of a given algebraic expression involving radicals. It does not contain a mathematical question or an explicit answer to a question.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$2xy^{2}\sqrt[4]{xy^3}$
Extracting the factors that are perfect roots of the given index, the given expression, $\sqrt[4]{16x^5y^{11}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[4]{16x^4y^{8}\cdot xy^3} \\\\= \sqrt[4]{(2xy^{2})^4\cdot xy^3} \\\\= 2xy^{2}\sqrt[4]{xy^3} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.
user
The text passage provides a step-by-step simplification of a given algebraic expression involving radicals. It does not contain a mathematical question or an explicit answer to a question.

TYPE: NO_QUESTION