1. Division properties of exponents
Section 7.2

2. 7.2 Topic Focus
I can divide monomials using the properties of exponents
I can simplify expressions containing negative and zero exponents

3. Main Question Discovery
Expand and evaluate the following
𝑥 4 𝑥 3

4. Quotient of Powers Definition
𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛

5. Use the Quotient of Powers property to simplify the following:
𝑔 3 ℎ 5 𝑔 ℎ 2
𝑥 3 𝑦 4 𝑥 2 𝑦
𝑘 7 𝑚 10 𝑝 𝑘 5 𝑚 3 𝑝

6. How do you feel?
Got it! 
Almost There
HELP!!! 

7. Main Question Discovery
Expand and evaluate the following
𝑐 2 𝑑 2

8. Power of a Quotient Definition
𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚

9. Use the Power of a Quotient property to evaluate the following:
3 𝑝
4 𝑥 3 5 𝑦
5 𝑥 5 𝑦 6𝑧 2

10. How do you feel?
Got it! 
Almost There
HELP!!! 

11. Main Question Discovery
Use the Quotient of Powers property to evaluate
Expand and evaluate

12. Zero Exponent Property Definition
𝑎 0 =1

13. Use the Zero Exponent Property to simplify the following:
𝑥 5 𝑦 0 𝑥 3
𝑏 4 𝑐 2 𝑑 0 𝑏 2 𝑐
12 𝑚 8 𝑛 7 8 𝑚 5 𝑛

14. How do you feel?
Got it! 
Almost There
HELP!!! 

15. Main Question Discovery
Use the Quotient of Powers property to evaluate 𝑐 2 𝑐 5
Expand and evaluate 𝑐 2 𝑐 5

16. Negative Exponent Property Definition
𝑎 −𝑚 = 1 𝑎 𝑚

17. Use the Negative Exponent Property to simplify the following:
2 −4
1 𝑥 −3

18. Use all multiplication and division properties to simplify the following:
𝑛 −5 𝑝 4 𝑟 −2
𝑣 −3 𝑤 𝑥 2 𝑤 𝑦 −6
3 𝑎 2 𝑏 −5 𝑐 3 −9 𝑎 7 𝑏 −2 𝑐 −3

19. How do you feel?
Got it! 
Almost There
HELP!!! 

20. Team Points Challenge #1
Simplify
5 𝑟 −3 𝑡 4 −20 𝑟 2 𝑡 7 𝑢 5

21. Team Points Challenge #2
Simplify
−10 𝑎 2 𝑏 3 𝑐 −5 2 𝑎 −3 𝑏 −1 𝑐 −4

22. Team Points Challenge #3
Simplify
2 𝑥 2 𝑦 4 −1 5 𝑥 −2 𝑦 −7