1. Division Properties
Of Exponents

2. Objectives and Properties
Be able to apply the quotient of powers property.
Be able to apply the power of a quotient property.
Be able to apply the multiplication properties of exponents.

3. Quotient of Powers Property
Evaluate the following expression:
Please note the following things:
The base is still the same: 3.
The exponent now has a value of 2 and (5-3)=2.
Solution
To divide powers that have the same base, subtract the exponents.

4. Examples
Simplify the quotient.
Solutions

5. Power of a Quotient Simplify the following quotient:
Find the power of the numerator.
Find the power of the denominator.
Divide.
Power of a Quotient Property

6. Examples
Use the power of a quotient property to simplify the expressions.
Solutions

7. You Try It 1. Simplify the following quotients.
2. Simplify the following expression.

8. Problem 1

9. Problem 2 Step 1. Gather like terms.
Step 4. Apply the quotient of powers property.
Step 2. Rewrite using positive exponents.
Step 5. Write the final answer.
Step 3. Apply the product of powers property