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:
Changing the base of a term
- Sometimes you can use index laws to change the base of a term, and thereby simplify an expression involving terms with apparently different bases
- For example
- Using the above can then help with problems like
- Index laws only work with terms that have the same base, so something like 23 × 52 cannot be simplified using index laws.