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# Indices and index laws
- URL: https://www.esheets.io/indices-and-index-laws/
- Published: 2026-07-09T19:16:59.000Z
- Updated: 2026-07-09T19:16:59.000Z
- Author: Richard Linnington
- Tags: Maths, Number, Topics

Indices are a compact way of representing repeated multiplication and are used throughout algebra and number work. The index laws make it possible to simplify expressions involving powers, including multiplication, division and raising a power to another power.

Explore our indices worksheets, guides and interactive resources to practise using index notation, applying the index laws and working confidently with powers at GCSE.

- [Positive integer powers](https://www.esheets.io/evaluating-positive-powers/)
- [Positive fractional powers](https://www.esheets.io/evaluating-positive-fractional-indices/)
- [Negative integer powers](https://www.esheets.io/evaluating-negative-powers/)
- [Square roots and fractional powers](https://www.esheets.io/square-roots-and-fractional-powers/)
- [Evaluating fractional and negative powers](https://www.esheets.io/evaluating-fractional-and-negative-powers/)
- [Index laws of multiplication](https://www.esheets.io/index-laws-of-multiplication/)
- [Index laws of division](https://www.esheets.io/index-laws-of-division/)
- [Squares and square roots](https://www.esheets.io/squares-and-square-roots/)
- [Cubes and cube roots](https://www.esheets.io/cubes-and-cube-roots/)