## Exponents and Powers

**Laws of Exponents**

If a, b are non-zero integers and m, n are any integers, then

**Powers With Negative Exponents**

If a is any non-zero integer and m is a positive integer, then

a^{-m} =1/a^{m}

Note: a^{-m} is called the multiplicative inverse of am as a^{-m} × a^{m} = 1.

It is obvious that am and a-m are multiplicative inverses of each other.