the video & interactive library - everything at a glance

number : powers & roots
 

Index Laws : [ multiplication ] [ division ][ raised powers ][ reciprocal ][ zero ][ roots ]

 

 

Square Root The square root of a number is a number that must be squared (multiplied by itself) to give the original number.

roots

Learn GCSE Maths - use the GCSE Maths Forum to ask questions

Cube Root The cube root of a number is a number that must be cubed (multiplied by itself 3 times) to give the original number.

cube roots

back to top

The Index Laws An 'index' (plural 'indices') is a number written in small case to the upper right of a number to indicate the number's size. An index is sometimes called the 'power' of a number.

indices#1

back to top

Why not try out the new GCSE Maths interactive pages?

The Index Law of Multiplication - Indices of multiplied terms are added to eachother.

multiplication of indices

back to top

The Index Law of Division - Indices of divided terms are subtracted from eachother.

index division

back to top

Contact GCSE Maths Tutor here - info@gcsemathstutor.com

The Index Law of Raised Powers - Indices of terms in brackets, raised to another power have their indices multiplied by the index outside the brackets.

indices-power

back to top

The Index Law of Reciprocal Powers - The index of a reciprocal indexed quantity is multiplied by '-1' when turned upside down(inverted). Conversely, when a normal indexed quantity is inverted, its index is multiplied by '-1'.

reciprocal indices

back to top

The Index Convention for Roots - The nth root of a number is the number to the power of 1/n.

nth root convention

back to top

Numbers to the power of zero - All number and quantities to the power of zero have a value of '1'.

zeero index

GCSE Maths revision from GCSE Maths Tutor

 

back to top