Home >> Number - Powers & Roots

**Coursework Notes - 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.

__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.

__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.

__The Index Law of Multiplication__ - Indices of **multiplied** terms are **added** to eachother.

__The Index Law of Division __- Indices of **divided** terms are** subtracted **from eachother.

__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.

__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'.

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

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

[ About ] [ FAQ ] [ Links ] [ Terms & Conditions ] [ Privacy ] [ Site Map ] [ Contact ]