Indices law - law 3
`a^(1/n)=\rootna`
To remember this try simple numbers you know first.
We know `4^(1/2)=sqrt4=2`
We can then apply this to all other examples:
Example 1
`10\^(1/2)=\root2\10=3.162`
Example 2
`9\^(1/2)=\root2\9=3` `(3xx3 =9)`
The second root of `9=3`
(The second root is also known as the square root)
Example 3
`27\^(1/3)=\root3\27=3` `(3xx3xx3=27)`
The third root of `27=3`
(The third root is also known as the cube root)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-1.4df6ee6.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-2.d516bb3.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-1.b0b0513.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-2.f89189d.jpg)