text: ## Precalculus (10th Edition)
  
  Published by Pearson
  
  # Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 20
  
  #### Answer
  
  $3^{-2}=\frac{1}{9}$
  
  #### Work Step by Step
  
  We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.
  
  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 a Precalculus textbook, 10th Edition, published by Pearson. It contains a question and its corresponding answer and explanation. The question is about converting a logarithmic expression to its exponential form. The answer provided is $3^{-2}=\frac{1}{9}$, and the work step by step confirms this conversion.
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: ## Precalculus (10th Edition)
  
  Published by Pearson
  
  # Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 20
  
  #### Answer
  
  $3^{-2}=\frac{1}{9}$
  
  #### Work Step by Step
  
  We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.
  
  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 a Precalculus textbook, 10th Edition, published by Pearson. It contains a question and its corresponding answer and explanation. The question is about converting a logarithmic expression to its exponential form. The answer provided is $3^{-2}=\frac{1}{9}$, and the work step by step confirms this conversion.
  
  Label: question-and-answer