8 2 division properties - day 2
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The document discusses rules for dividing and multiplying powers with the same base. It states that to divide powers with the same base, subtract the exponents. It also discusses properties for powers of quotients. Key questions are asked about explaining exponential rules algebraically and how multiplying and dividing exponential expressions differ and are the same. Examples are given of simplifying exponential expressions by applying the rules.
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This talk draws on experimentation to enable AI applications with Solr. One important use case is to use AI for better accessibility and discoverability of the data: while User eXperience techniques, lexical search improvements, and data harmonization can take organizations to a good level of accessibility, a structural (or “cognitive” gap) remains between the data user needs and the data producer constraints.
That is where AI – and most importantly, Natural Language Processing and Large Language Model techniques – could make a difference. This natural language, conversational engine could facilitate access and usage of the data leveraging the semantics of any data source.
The objective of the presentation is to propose a technical approach and a way forward to achieve this goal.
The key concept is to enable users to express their search queries in natural language, which the LLM then enriches, interprets, and translates into structured queries based on the Solr index’s metadata.
This approach leverages the LLM’s ability to understand the nuances of natural language and the structure of documents within Apache Solr.
The LLM acts as an intermediary agent, offering a transparent experience to users automatically and potentially uncovering relevant documents that conventional search methods might overlook. The presentation will include the results of this experimental work, lessons learned, best practices, and the scope of future work that should improve the approach and make it production-ready.
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8 2 division properties - day 2
- 1. P. 495 – Key Concepts • What appears to be the rule for quotient of power? • To divide powers having the same base, subtract exponents. 8 a m 3 a m n ,a 0 38 5 33 27 a n 35
- 2. • Power of a Quotient Property m m a a m ,b 0 b b 3 3 2 2 3 3 3
- 3. • Essential questions for the unit: • Exponential Rules can be shown algebraically. Explain how they work in your own words. • How do multiplying exponential expressions differ from dividing exponential expressions? How are they the same? • .
- 4. • Simplify: 3 3 w 2 2x
- 5. 3 2 2 xy 3x 2 4y 5y
- 6. 1 15 8 y y 9 a y
- 7. • Cont’ P. 499 # 21-45 • Copy each problem, then simplify.