1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 9–2) Then/Now Key Concept: Product Powers of Property Example 1:Multiply Powers Example 2:Multiply Monomials Key Concept: Quotient of Powers Property Example 3:Divide Powers Example 4:Real-World Example: Use Powers to Compare Values

3. Over Lesson 9–2 5-Minute Check 1 A.prime B.composite Is 51 a prime or composite number?

4. Over Lesson 9–2 5-Minute Check 2 A.prime B.composite Is 37 a prime or composite number?

5. Over Lesson 9–2 5-Minute Check 3 A.3 ● 25 B.3 ● 5 2 C.5 ● 5 ● 5 D.25 ● 25 ● 25 What is the prime factorization of 75?

6. Over Lesson 9–2 5-Minute Check 4 A.2 3 ● 10 2 B.2 3 ● 3 2 C.2 2 ● 3 3 D.2 ● 3 ● 4 ● 5 What is the prime factorization of 108?

7. Over Lesson 9–2 5-Minute Check 5 A.5 ● 5 ● 5 ● x ● x B.3 ● 5 ● x C.5 ● 5 ● 5 ● x ● x ● x D.3 ● 5 ● x ● x Factor 15x 2.

8. Over Lesson 9–2 5-Minute Check 6 A.–1 ● 25 ● y 4 ● z 2 B.–1 ● 5 ● 5 ● y ● y ● y ● y ● z ● z C.–1 ● 5 ● 5 ● y 4 ● z 2 D.–5 ● 5 ● y ● y ● y ● y ● z ● z Factor –25y 4 z 2.

9. Then/Now You used the Commutative and Associative Properties of Multiplication to simplify expressions. (Lesson 1–3) Multiply monomials. Divide monomials.

10. Concept A

11. Example 1 A Multiply Powers A. Find 3 4 ● 3 6. 3 4 ● 3 6 = 3 4+6 Product of Powers Property; the common base is 3. = 3 10 Add the exponents. Answer: 3 10

12. Example 1 B Multiply Powers B. Find 7 8 ● 7. 7 8 ● 7 = 7 8 ● 7 1 7 = 7 1 = 7 8+1 Product of Powers Property; the common base is 7. = 7 9 Add the exponents. Answer: 7 9

13. Example 1 CYP A A.4 2 B.4 8 C.4 15 D.4 –2 A. Find 4 3 ● 4 5.

14. Example 1 CYP B A.9 5 B.9 4 C.9 5 D.9 6 B. Find 9 5 ● 9.

15. Example 2 A Multiply Monomials A. Find y 4 ● y. Answer: y 5 y 4 ● y =y 4+1 The common base is y. = y 5 Add the exponents.

16. Example 2 B Multiply Monomials B. Find (3p 4 )(–2p 3 ). Answer: –6p 7 (3p 4 )(–2p 3 ) =(3 ● –2)(p 4 ● p 3 )Group the coefficients and variables. =(–6)(p 4+3 )The common base is p. =–6p 7 Add the exponents.

17. Example 2 CYP A A.w 3 B.w 7 C.w 10 D.w –3 A. Find w 2 ● w 5.

18. Example 2 CYP B A.2m 5 B.–24m 5 C.–24m 6 D.2m 6 B. Find (–4m 3 )(6m 2 ).

19. Concept B

20. Example 3 Divide Powers Quotient of Powers Property; the common base is 4. =4 6 Subtract the exponents. Answer: 4 6

21. Example 3 B Divide Powers Quotient of Powers Property; the common base is x. Answer: x 11 =x 11 Subtract the exponents. B.

22. Example 3 CYP A A.4 5 B.3 4 C.3 8 D.4 8

23. Example 3 CYP B A.r 4 B.1 4 C.r 3 D.r 5 B. Find.

24. Example 4 Use Powers to Compare Values CLOUDS The table shows the approximate heights of some clouds. About how many times higher are some high clouds than some low clouds? Write a division expression. Quotient of Powers Property Answer: The high clouds are about 8 times higher than the low clouds. Simplify.

25. Example 4 A.2 times B.4 times C.8 times D.16 times CLOUDS The table shows the approximate heights of some clouds. About how many times higher are some high clouds than some middle clouds?

26. End of the Lesson