Multiplication Properties of Exponents

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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.