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AQA A Level Maths: Pure復(fù)習(xí)筆記2.1.1 Laws of Indices

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年7月18日 下午4:48

Laws of Indices

 

What do I need to know about laws of indices?

  • Laws of indices (or index laws – 'index' is the singular, 'indices' is the plural) allow you to simplify and manipulate expressions involving powers
  • The index laws you need to know and use are summarised here:2.1.1-List-of-index-laws

 

Changing the base of a term

  • Sometimes expressions involve different base values
  • You can use index laws to change the base of a term to simplify an expression involving terms with different bases
    • For example
    • Using the above can then help with problems like

Exam Tip

  • Index laws only work with terms that have the same base, so something like?23?×?52?cannot be simplified using index laws

Worked Example

2.1.1-Index-laws-example

 

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