1. 1 Math Powers and Exponents

2. 2 What Are You Learning? I CAN write powers as a product of the same factor. I CAN write products in exponential form. I CAN evaluate exponents.

3. 3 Why Do You Need To Know This? Exponents are used in the real-world to represent extremely large and small numbers. They are also used in solving problems.

4. 4 Vocabulary Words Factors—Two or more numbers multiplied together to form a product. Example—2 3 = 6 The numbers 2 and 3 are factors.

5. 5 Vocabulary Base—The common factor or number being multiplied. 5 5 5 5 5 Five is the base

6. 6 Vocabulary Exponent—Number that tells how many times the base is used as a factor. 4²--2 is the exponent and it shows that 4 will be multiplied two times. 4 4

7. 7 Name the exponent and base. A. 7 5 B. (-10)² C. -2 2 D. 8³

8. 8 Vocabulary Powers—Numbers expressed using exponents. 4² and 6³ are examples of powers. 4² is read “four to the second power.” 6³ is read “six to the third power.”

9. 9 Write each power in words a. 12¹ b. 5² c. 6³

10. 10 Vocabulary Squared—A number multiplied by itself two times. 4 x 4 or 4² The four is being squared. Cubed—A number multiplied by itself three times. 2 x 2 x 2 or 2³

11. 11 Write Numbers in Exponential Form Exponential Form—Numbers written with exponents. Example 1—Write 3 · 3 · 3 in exponential form. 3 is the base. It is used as a factor 3 times. So, the exponent is 3. 3 · 3 · 3 = 3³

12. 12 Write each expression using exponents. A.5 · 5 · 5 B. 12 · 12 · 12 · 12 · 12 C. 9 · 9 · 9 · 9 · 9 · 9 D. a · b · b · a · a · b E. (-3)(-3)(-3)(-3)

13. 13 Write each expression using exponents. A.r · r · r · r · s · s B.-2 · y · x · y C.(-2) · (-2) · t · t · t · t D.x · x · y · y · z E.5 · 5 · 4 · 2 · 5 · 4

14. 14 Write the product 8 8 8 in exponential form. 1. 3 8 2. 8 3 3. 8 3 4. 512

15. 15 Write Powers as Products Example 1—7 5 The base is 7. The exponent 5 means that 7 is used as a factor 5 times. 7 5 = 7 · 7 · 7 · 7 · 7 Example 2—3² The base is 3. The exponent 2 means the 3 is used as a factor two times. 3² = 3 · 3

16. 16 Your Turn Write each power as a product of the same factor. a. 8 3 b. 4 to the sixth power c. 2³ · 3² · 7 d. 3 to the third power · 4 squared

17. 17 Write the power 7 3 as a product of the same factor. 1. 3 3 3 3 3 3 3 2. 7 7 7 3. 7 3 4. 343

18. 18 Vocabulary Evaluate—Find the value of an expression. Standard Form—Numbers written without exponents.

19. 19 Write Powers in Standard Form Evaluate each expression. Example 1—2 5 = 2 · 2 · 2 · 2 · 2 = 32 Example 2—4³ = 4 · 4 · 4 = 64

20. 20 Evaluate each expression a. 10² b. 7 to the third power c. 5 4 d. 8³ e.6 to the fourth power

21. 21 Evaluate 2 4 1. 2 2 2 2 2. 8 3. 32 4. 16

22. 22 Evaluate each expression a. 2 1 · 3² b. 7² · 3³ c. 3 · 2² · 4³ d. 7 · 6³ · 10³

23. 23 Class Work Pg. 12 17-35 ODD ONLY