1. Warm Up
Lesson Presentation
Lesson Quizzes

2. Warm Up
Find the product.
1. 5 • 5 • 5 • 5
625
2. 3 • 3 • 3 27
3. (–7) • (–7) • (–7)‏
–343
4. 9 • 9 81

3. Learn to evaluate expressions with exponents.

4. Vocabulary
exponential form
exponent
base
power

5. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. A number produced by raising a base to an exponent is called a power. Both 27 and 33 represent the same power.
Exponent
Base 7 2

6. Additional Example 1: Writing Exponents
Write in exponential form.
A. 4 • 4 • 4 • 4
Identify how many times 4 is a factor.
4 • 4 • 4 • 4 = 44
B. (–6) • (–6) • (–6)‏
Identify how many times –6 is a factor.
(–6) • (–6) • (–6) = (–6)3
Read –(63) as “ negative 6 to the 3rd power” or “negative 6 cubed”.
Reading Math

7. Additional Example 2: Simplifying Powers
C. (–4)4
Find the product of four –4’s.
= (–4) • (–4) • (–4) • (–4)‏
(–4)4
= 256 D.
Find the product of eight 1/2’s.

8. Simplify. A. 74 Find the product of four 7’s. 74 = 7 • 7 • 7 • 7
Check It Out: Example 2
Simplify.
A. 74
Find the product of four 7’s.
74 = 7 • 7 • 7 • 7
= 2401
B. (–9)3
Find the product of three –9’s.
= (–9) • (–9) • (–9)‏
(–9)3
= –729

9. Simplify. C. –(5)2 = –(5) • (5)‏ –(5)2 = –25 D. 97
Check It Out: Example 2
Simplify.
C. –(5)2
Find the product of two 5’s and then make the answer negative.
= –(5) • (5)‏
–(5)2
= –25
D. 97
Find the product of seven 9’s.
97 = 9 • 9 • 9 • 9 • 9 • 9 • 9
= 4,782,969