# Index Laws
You can use these index laws to simplify powers of the same base

```
a^(m) × a^(n) = a^(mn)
a^(m) ÷ a^(n) = a^(m-n)
(a^(m))^(n) = a^(mn)
(ab)^(n) = a^(n)b^(n)

sqrt(a) = a^(1/2)
cbrt(a) = a^(1/3)
sqrt(a^(n)) = a^(n/2)

1/x = x^(-1)
2/x = 2x^(-1)
1/(x^(n)) = x^(-n)
```