1. 7-4 Division Properties of Exponents
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

2. Dividing Powers With the Same Base
To divide powers with the same base, subtract the exponents.
𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛 , where 𝑎≠0, and m and n are rational numbers
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

3. Problem 1: Dividing Algebraic Expressions
What is the simplified form of each expression?
𝑥 𝑥 2
𝑚 2 𝑛 4 𝑚 5 𝑛 3
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

4. Problem 2: Dividing Numbers in Scientific Notation
Simplify each quotient. Write each answer in scientific notation. 1.21× × 10 5
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

5. Simplify each quotient. Write each answer in scientific notation. 7
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

6. Raising a Quotient to a Power
To raise a quotient to a power, raise the numerator and denominator to the power and simplify
𝑎 𝑏 𝑛 = 𝑎 𝑛 𝑏 𝑛 , where 𝑎≠0, 𝑏≠0, and n is a rational number
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

7. Problem 3: Raising a Quotient to a Power
What is the simplified form: 𝑧
4 𝑥
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

8. 𝑎 𝑏 −𝑛 = 𝑏 𝑎 𝑛 Learning Target:
𝑎 𝑏 −𝑛 = 𝑏 𝑎 𝑛
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power

9. Problem 4: Simplifying an Exponential Expression
What is the simplified form?
2𝑥 6 𝑦 4 −3
𝑎 5𝑏 −2
Learning Target: 
* I can divide powers with the same base
* I can raise a quotient to a power