2. Use powers and exponents in expressions.
base
exponent
Lesson 9 MI/Vocab

3. Lesson 9 Ex1

4. Write Expressions Using Powers
Write 3 ● 3 ● 3 ● 7 ● 7 using exponents.
3 ● 3 ● 3 ● 7 ● 7 = (3 ● 3 ● 3) ● (7 ● 7) Associative Property
= 33 ● 72 Definition of exponents
Answer: 33 ● 72
Lesson 9 Ex1

5. Write 2 ● 2 ● 2 ● 2 ● 5 ● 5 ● 5 using exponents.
A. 23 ● 53
B. 24 ● 53
C. (2 ● 5)4
D. (2 ● 5)7 A B C D
Lesson 9 CYP1

6. Write Expressions Using Powers
Write p ● p ● p ● q ● p ● q ● q using exponents.
p ● p ● p ● q ● p ● q ● q = p ● p ● p ● p ● q ● q ● q Commutative Property
= (p ● p ● p ● p) ● (q ● q ● q) Associative Property
= p4 ● q Definition of exponents
Answer: p4 ● q3
Lesson 9 Ex2

7. Write x ● y ● x ● x ● y ● y ● y using exponents.
A. x3 ● y4
B. x4 ● y3
C. x3 ● y7
D. (x ● y)7 A B C D
Lesson 9 CYP2

8. Write x ● y ● x ● 5 ● y ● 5 ● y using exponents.A B C D
Lesson 9 CYP2

9. A power applies only to what is directly in front of it.
Evaluate when x = 6.
The problem. x2
Substitute.
(6)2
Write factors.
(6)(6)
Simplify. 36

10. 95 = 9 ● 9 ● 9 ● 9 ● 9 Definition of exponents
Evaluate Powers
Evaluate 95.
95 = 9 ● 9 ● 9 ● 9 ● 9 Definition of exponents
= 59,049 Simplify.
Check using a calculator.
ENTER
Answer: 59,049
Lesson 9 Ex3

11. Evaluate 65.
A. 30
B. 1,296
C. 6,842
D. 7,776 A B C D
Lesson 9 CYP3

12. ALGEBRA Evaluate x3 ● y5 if x = 4 and y = 2.
Evaluate Powers
ALGEBRA Evaluate x3 ● y5 if x = 4 and y = 2.
x3 ● y5 = 43 ● 25 Replace x with 4 and y with 2.
= (4 ● 4 ● 4) ● (2 ● 2 ● 2 ● 2 ● 2) Write the powers as products.
= 64 ● 32 Simplify.
= 2,048 Simplify.
Answer: 2,048
Lesson 9 Ex5

13. ALGEBRA Evaluate x2 ● y4 if x = 3 and y = 4.
C. 2,304
D. 3,112 A B C D
Lesson 9 CYP5