Lesson 2: Exponents - levine.wiki.dublinschools.net

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Algebra Lesson 2: Exponents An exponent tells you how many times to multiply a base. In the expression 34, the base is 3 and the exponent is 4. 34 5 3 3 3 3 3 3 3 5 81 The exponent 4 tells you to multiply the base 4 times.

EXAMPLE 1

Write 63 without an exponent. 63 5 6 3 6 3 6 6. ALGEBRA 2. Exponents

EXAMPLE 2

Write y • y • y • y with an exponent. y • y • y • y 5 y4

EXAMPLE 3

Evaluate 82.

HINT

To evaluate an expression with an exponent, write the base as a factor the number of times indicated by the exponent. Then multiply.

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

82 5 8 3 8 5 64

Practice: First Try Identify the base and the exponent for each expression. 1. 53

2. 82

3. 112

4. d4

5. 15t

Write without an exponent. Do not evaluate. 6. 25 11. 26

7. 14

8. x2

12. 108

13. m3

9. y3

10. 32

14. p2

15. w5

Write with an exponent. Do not evaluate. 16. 10 3 10 3 10

17. 4 • 4 • 4 • 4 • 4

18. n • n • n • n

19. z • z • z • z • z • z • z

20. 2 3 2 3 2 3 2

21. b • b • b • b • b • b • b • b • b

Evaluate.

22. 53

23. 24

24. 72

25. 15

26.

33

27. 42

28. 105

29. 112

30. 91

31.

203

McDougal Littell Middle School Math Remediation Book Lesson 6.2

169

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Practice: Second Try Write without an exponent. Do not evaluate. 1. 83

2. 35

3. m4

4. s2

5. 92

6. 45

7. 113

8. c7

9. n2

10. r5

6. ALGEBRA 2. Exponents

Write with an exponent. Do not evaluate. 11. 7 3 7 3 7 3 7

12. (5)(5)(5)(5)(5)(5)(5)(5)

13. x • x • x • x • x • x

14. a • a • a • a • a

15. 3 • 3 • 3 • 3

16. h • h • h • h • h • h • h • h

Evaluate. 17. 92

18. 104

19. 63

20. 18

21. 26

22. 54

23. 33

24. 122

25. 106

26. 35

27. 202

28. 43

29.

Look at the pattern below. Write each number using a base of 2 and an exponent. Write the next number in the pattern. 2

30.

4

8

16

32

64

128

256

512

1024

Look at the pattern below. Write each number using an exponent of 2. Write the next number in the pattern. 1

4

9

16

25

36

49

64

81

100

Extend Your Skills 31. Casey made a wooden cube piggy bank in woodworking class. Each side measured

8 cm. Write and evaluate an expression for the volume of the piggy bank. 32. In a biology lab, a cell divides and becomes two cells in the first hour, represented by 21.

In the second hour, each of the two cells divides into two cells again, represented by 22. Write and evaluate an expression to represent the number of cells after 7 hours. Puzzle

If 2n is 8, what is n2?

170

McDougal Littell Middle School Math Remediation Book Lesson 6.2

Copyright © by McDougal Littell, a division of Houghton Mifflin Company.

Give a complete answer.

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