Multiplication Properties of Exponents

1. Property One for exponents: If r and s are any two whole numbers and a is an integer, then it is true that:

a^r •a^s = a^{r +s}

2. Property Two for exponents: If r and s are any two whole numbers and a is an integer, then it is true that:

( a^r )^s = a^rs

3. Property Three for exponents: If r is a whole number and a and b are integers, then it is true that:  (ab )^r = a^r b^r

4. Simplifying using more than one property: Use the order of operations agreement and the three multiplication properties of exponents to simplify.