text: ## 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.
explanation: The document is an algebraic simplification problem from a textbook. It shows the step-by-step process of simplifying a given expression involving radicals. The document contains a question (the expression to be simplified) and the answer (the simplified form of the expression).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## 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.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is an algebraic simplification problem from a textbook. It shows the step-by-step process of simplifying a given expression involving radicals. The document contains a question (the expression to be simplified) and the answer (the simplified form of the expression).
  
  Label: question-and-answer