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.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic |
---|---|---|---|

AQA AS Maths 2017 | Pure Maths | Algebra | Laws of Indices |

AQA AS/A2 Maths 2017 | Pure Maths | Algebra | Laws of Indices |

AQA GCSE (9-1) Higher (UK) | N: Structure and Calculation | N7: Calculating with Fractional Indices | Fractional and Negative Powers |

CBSE IX (India) | Number Systems | Real Numbers | Number types |

CIE IGCSE (9-1) Maths (0626 UK) | 1 Number | B1.7 Indices and Standard Form | Fractional and Negative Powers |

Edexcel AS Maths 2017 | Pure Maths | Algebraic Expressions | Laws of Indices |

Edexcel AS/A2 Maths 2017 | Pure Maths | Algebraic Expressions | Laws of Indices |

Edexcel GCSE (9-1) Higher (UK) | N: Structure and Calculation | N7: Calculating with Fractional Indices | Fractional and Negative Powers |

GCSE Higher (UK) | Number | Powers and roots | Fractional and negative powers |

OCR AS Maths 2017 | Pure Maths | Indices and Surds | Laws of Indices |

OCR GCSE (9-1) Higher (UK) | 3: Indices and Surds | 3.01: Fractional Indices | Fractional and Negative Powers |

OCR MEI AS Maths 2017 | Pure Maths | Surds and Indices | Laws of Indices |

Universal (all site questions) | P | Powers and roots | Fractional and negative powers |