4 Course 3 • Chapter 1 Real Numbers

NAME _____________________________________________ DATE __________________ PERIOD _________

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panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 2 Skills PracticePowers and Exponents

Write each expression using exponents.

1. 2 ! 2 ! 2 ! 2 2. 9 ! 9

3. 7 ! 7 ! 5 ! 5 ! 5 ! 5 4. 3 − 8 ! 3 −

8 ! 3 −

8

5. c ! 1 − 4 ! c ! 1 −

4 ! 1 −

4 6. s ! 6 ! s ! s ! 6 ! 6 ! s

7. 8 ! x ! 2 ! 2 ! 2 ! x ! 8 8. a ! (-4) ! b ! a ! b ! (-4) ! (-4)

9. 1 − 3 ! n ! 4 ! n ! 1 −

3 ! n ! 4 ! 4 10. 9 ! 9 ! x ! w ! x ! y ! w ! 9 ! y

Evaluate each expression.

11. 43 12. 25 13. (-8)3

14. ( 3 − 5 )

4 15. 28 - 32 16. 23 ! 52

17. 34 - (-4)2 18. 6 + 26 19. (-3)3 ÷ 32

ALGEBRA Evaluate each expression if g = 2 and h = -3.

20. g4 21. (g + h)3 22. h4 - h3

23. g3 + h2 24. (g - h)2 + h2 25. h4 - (h - g)3

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6 Course 3 • Chapter 1 Real Numbers

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 3 Skills PracticeMultiply and Divide Monomials

Simplify. Express using exponents.

1. 59 · 53 2. 38 · 3 3. c · c6 4. m5 · m2

5. 3x · 4x4 6. (2h7)(7h) 7. - 5d6(8d6) 8. (6k5)(- k4)

9. (- w)(- 10w3) 10. - 7z4(- 3z8) 11. bc3(b2c) 12. 3a4 · 6a2

13. 3m3n2(8mn3) 14. 7t5(- 6t5) 15. (3ab2)(a2c5) 16. (9p4)(- 8p2)

17. 29 −−

23 18. 38 −−

34 19. 59 −−

52 20. 87 −−

8

21. b12 −−

b5 22. 12n5 −−−

4n2 23. 14m3 −−−−

7m2 24. 9r8 −−

3r4

25. 24t9 −−−

6t3 26. 18y6

−−− 2y

27. a4c6 −−−

a2c 28. 5

10 −−

52

Simplify.

29. 48 · 53 · 76

−−−−−− 46 · 52 · 75 . 30. (-2)9 · (-3)7 · 43

−−−−−−−−−− (-2)5 · (-3)5 · 41 .

31. 310 · (-6)5

−−−−−−− 37 · (-6)2 . 32. 9

8 · 1012 −−−−−−

96 · 106 .

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8 Course 3 • Chapter 1 Real Numbers

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 4 Skills PracticePowers of Monomials

Simplify.

1. (72)3 2. (32)6 3. (83)2 4. (94)2

5. (d7)6 6. (m5)5 7. (h6)3 8. (z7)3

9. [(43)2]2 10. (-5a2b7)7 11. (2m5g11)6 12. [(23)3]2

13. (7a5b6)4 14. (7m3n11)5 15. (-3w3z8)5 16. (-7r4s10)4

GEOMETRY Express the area of each square below as a monomial.

17.

6g 3h5

18.

13d 5e

GEOMETRY Express the volume of each cube below as a monomial.

19.

7c 5d 2

20.

6r 7s 8

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12 Course 3 • Chapter 1 Real Numbers

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 5 Skills PracticeNegative Exponents

Write each expression using a positive exponent.

1. 4−5 2. 5−7 3. m−9 4. s−6

5. f−3 6. (−2)−6 7. (−4)−3 8. w−12

Evaluate each expression.

9. (−5)−5 10. 3−2 11. 8−3 12. (−9)−4

Write each fraction as an expression using a negative exponent.

13. 1 −−− 123 14. 1 −−

81 15. 1 −−

t6 16. 1 −− 88

Simplify. Express using positive exponents.

17. 2−6 · 23 18. s−5 · s7 19. m8 −−−

m−4 20. 108 −−−

109

21. y−3 · y3 22. s−5 · s7 23. x6 −−

x−3 24. 6 - 4 −− 68

25. 3−5 −−−

3−3 26. e−3 −−

e−2 27. n−6 −−−

n4 28. j−2

−− j−2

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