text: ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
  
  Published by Pearson
  
  # Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set: 61
  
  #### Answer
  
  $t^{80}$
  
  #### Work Step by Step
  
  Using $(a^x)^y=a^{xy}$, then the given expression, $(t^{20})^{4}$, simplifies to \begin{array}{l}\require{cancel} t^{20(4)} \\\\= t^{80} .\end{array}
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
explanation: The document is an excerpt from an algebra textbook, specifically from the exercise section on exponents and their properties. It contains a math problem and its solution. The problem is to simplify the expression \((t^{20})^{4}\), and the answer provided is \(t^{80}\).
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)
  
  Published by Pearson
  
  # Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set: 61
  
  #### Answer
  
  $t^{80}$
  
  #### Work Step by Step
  
  Using $(a^x)^y=a^{xy}$, then the given expression, $(t^{20})^{4}$, simplifies to \begin{array}{l}\require{cancel} t^{20(4)} \\\\= t^{80} .\end{array}
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is an excerpt from an algebra textbook, specifically from the exercise section on exponents and their properties. It contains a math problem and its solution. The problem is to simplify the expression \((t^{20})^{4}\), and the answer provided is \(t^{80}\).
  
  Label: question-and-answer