Properties of Exponents Students will be able to use properties of exponents to evaluate and simplify expressions.

FHSPre-Algebra Review2 Exponent Properties - Multiplication There are two other properties of exponents for multiplication: In all cases a and b stand for any real numbers, m and n are any integers.

FHSPre-Algebra Review3 Exponent Properties - Multiplication Let’s look at an example that demonstrates how the second property works: We have the problem: According to the property we should be able to find the answer this way: We know that so this follows: Which gives us the same answer.

FHSPre-Algebra Review4 Exponent Properties - Multiplication Let’s look at an example that demonstrates how the third property works: We have the problem: According to the property we should be able to find the answer this way: We know this: Which gives us the same answer.

FHSPre-Algebra Review5 Exponent Property - Division There is one other property of exponents for division: In all cases a and b stand for real numbers, m and n are integers., if b ≠ 0

FHSPre-Algebra Review6 Exponent Properties - Division Let’s look at an example that demonstrates how the second property works: According to the property we should be able to find the answer this way: To write the problem in expanded form, we would have: Which gives us the same answer.

FHSPre-Algebra Review7 Examples of Exponent Properties Simplify the following: