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The square root of say 5 can be written as \sqrt{5} . Using fractional powers it can also be written as 5^{\frac{1}{2} } . The cube root of 7 can be written as 7^{\frac{1}{3} } .

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## Glossary

### cube root

of a number n, that value that when cubed equals n

### square root

of a number n, that value that when squared equals n

### union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopic
AQA AS Maths 2017Pure MathsAlgebraLaws of Indices
AQA AS/A2 Maths 2017Pure MathsAlgebraLaws of Indices
AQA GCSE (9-1) Higher (UK)N: Structure and CalculationN7: Calculating with Fractional IndicesFractional and Negative Powers
CBSE IX (India)Number SystemsReal NumbersNumber types
CIE IGCSE (9-1) Maths (0626 UK)1 NumberB1.7 Indices and Standard FormFractional and Negative Powers
Edexcel AS Maths 2017Pure MathsAlgebraic ExpressionsLaws of Indices
Edexcel AS/A2 Maths 2017Pure MathsAlgebraic ExpressionsLaws of Indices
Edexcel GCSE (9-1) Higher (UK)N: Structure and CalculationN7: Calculating with Fractional IndicesFractional and Negative Powers
GCSE Higher (UK)NumberPowers and rootsFractional and negative powers
OCR AS Maths 2017Pure MathsIndices and SurdsLaws of Indices
OCR GCSE (9-1) Higher (UK)3: Indices and Surds3.01: Fractional IndicesFractional and Negative Powers
OCR MEI AS Maths 2017Pure MathsSurds and IndicesLaws of Indices
Universal (all site questions)PPowers and rootsFractional and negative powers