1. Lesson 4.6 Negative and Zero Exponents
Essential Question: How do you simplify powers with negative and zero exponents?

2. Before we start… Complete the table by determining the pattern. Power
Value
2 3 8
2 2 4
2 1 2
2 0
2 −1
2 −2

3. Negative Exponents Negative Exponents Property Words
For any integer n and any number 𝑎≠0, 𝑎 −𝑛 is equal to 1 𝑎 𝑛
Algebra
𝑎 −𝑛 = 1 𝑎 𝑛
Numbers
2 −3 =

4. Zero Exponents Zero Exponents Words For any number 𝑎≠0, 𝑎 0 =1 Algebra
Numbers
2 0 =1

5. Write the expression using only positive exponents.
3 −5

6. Evaluate the expression 7 −2

7. Evaluate the expression 10 −5 ∙ 10 5

8. Simplify the expression −2 𝑛 0

9. Simplify the expression 8 𝑥 −3 𝑥

10. Simplify the expression − 5 𝑥 0 3

11. Simplify the expression 5 𝑥 4 𝑥 −7

12. Simplify the expression 𝑐 −1 ∙ 𝑐 −2 ∙ 𝑐 −4

13. Simplify the expression 𝑦 −6 ∙ 𝑦 9

14. Simplify the expression 𝑚 0 ∙ 𝑛 −4

15. Simplify the expression 16𝑥 −6 ∙𝑦

16. Simplify the expression 𝑎 −3 ∙ 𝑎 10

17. Simplify the expression 𝑏 −4 𝑏 −6

18. How do you simplify powers with negative and zero exponents?

19. Ticket Out the Door
Simplify 𝑥 −6 ∙ 𝑥 2 𝑦 𝑥 5 𝑦 4