Indices and index laws

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
• Positive fractional powers
• Negative integer powers
• Square roots and fractional powers
• Evaluating fractional and negative powers
• Index laws of multiplication
• Index laws of division
• Squares and square roots
• Cubes and cube roots