1. 2-6
Exponents
Course 3
Warm Up
Problem of the Day
Lesson Presentation

2. 2-6 Exponents Warm Up Find the product. 1. 5 • 5 • 5 • 5 625
Course 3
2-6
Exponents
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. Course 3
2-6
Exponents
Learn to evaluate expressions with exponents.

4. Course 3
2-6
Exponents
Vocabulary
power
exponential form
exponent
base

5. Course 3
2-6
Exponents
The term 27 is called a power. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor.
Exponent
Base 7 2

6. Additional Example 1A & 1B: Writing Exponents
Course 3
2-6
Exponents
Additional Example 1A & 1B: 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. d • d • d • d • d
Identify how many times d is a factor.
d • d • d • d • d = d5
Read 44 as “4 to the 4th power.”
Reading Math

7. Additional Example 1C & 1D: Writing Exponents
Course 3
2-6
Exponents
Additional Example 1C & 1D: Writing Exponents
Write in exponential form.
C. (–6) • (–6) • (–6)
Identify how many times –6 is a factor.
(–6) • (–6) • (–6) = (–6)3
D. 5 • 5
5 • 5 = 52
Identify how many times 5 is a factor.

8. 2-6 Exponents Write in exponential form. A. x • x • x • x • x
Course 3
2-6
Exponents
Try This: Example 1A & 1B
Write in exponential form.
A. x • x • x • x • x
Identify how many times x is a factor.
x • x • x • x • x = x5
B. d • d • d
Identify how many times d is a factor.
d • d • d = d3

9. 2-6 Exponents Write in exponential form. C. (–3) • (–3) • (–3) • (–3)
Course 3
2-6
Exponents
Try This: Example 1C & 1D
Write in exponential form.
C. (–3) • (–3) • (–3) • (–3)
Identify how many times –3 is a factor.
(–3) • (–3) • (–3) • (–3) = (–3)4
D. 7 • 7
Identify how many times 7 is a factor.
7 • 7 = 72

10. Additional Example 2A & 2B: Evaluating Powers
Course 3
2-6
Exponents
Additional Example 2A & 2B: Evaluating Powers
Evaluate.
A. 35
Find the product of five 3’s.
35 = 3 • 3 • 3 • 3 • 3
= 243
B. (–3)5
Find the product of five –3’s.
= (–3) • (–3) • (–3) • (–3) • (–3)
(–3)5
= –243
Helpful Hint
Always use parentheses to raise a negative number to a power.

11. Additional Example 2C & 2D: Evaluating Powers Continued
Course 3
2-6
Exponents
Additional Example 2C & 2D: Evaluating Powers Continued
Evaluate.
C. (–4)4
Find the product of four –4’s.
= (–4) • (–4) • (–4) • (–4)
(–4)4
= 256
D. 28
Find the product of eight 2’s.
28 = 2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
= 256

12. 2-6 Exponents Evaluate. A. 74 Find the product of four 7’s.
Course 3
2-6
Exponents
Try This: Example 2A & 2B
Evaluate.
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

13. 2-6 Exponents Evaluate. C. (–5)2 = (–5) • (–5) (–5)2 = 25 D. 97
Course 3
2-6
Exponents
Try This: Example 2C & 2D
Evaluate.
C. (–5)2
Find the product of two –5’s.
= (–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

14. Write in exponential form.
Course 3
2-6
Exponents
Lesson Quiz: Part 1
Write in exponential form.
1. n • n • n • n 4 n
2. (–8) • (–8) • (–8)
(–8)3
3. Evaluate (–4)4
256