7th Grade Math

Lesson 4A Monomials 179

Examples 1–5 Simplify. Express using exponents.

1. 65 · 64 2. 33 · 32 3. ( _^2
   3

(^) )
4
(^) ( _^2
3
(^) )
5

4. m^4 · m^8 5. - 4 c^2 (3c^6 ) 6. 43 x^4 y^6 · 42 x^3 y

77 4

7

_

43

8. x

8

_

x^6

9. 6 t

4

_

3 t

Example 6 10. SURVEY A school surveyed people who like fruit and vegetables. Of the

students surveyed, 2^6 like vegetables and 2^4 like fruit. How many times

as many students prefer vegetables over fruit?

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Examples 1–5 Simplify. Express using exponents.

11. 
    

    56 · 54 12. 37 · 38 13. (^) ( ^15 )
    3
    (^) ( ^1
    5
    (^) )
    2

    
    


12. 
    

    43 · 44 15. 7 · 77 16. (^) ( ^34 ) (^) ( ^34 )
    4

    
    


13. 
    

    n^2 · n 18. 4 b^3 · 5 b^4 19. 3 j^3 k^4 · 6 jk^9

    
    


14. 
    

    t^6 · t^3 21. ( 7 h^3 ) ( 2 h^8 ) 22. (- 7 m^3 n^7 p^9 ) (- 8 m^4 n^5 p^4 )

    
    


15. 
    

    ( 6 x^5 ) ( 4 x^7 ) 24. (^) (- 5 f) ( 8 f^6 ) 25. (- 6 p^9 ) (- 7 p^7 )

    
    


16. 
    

    5

    
    

4

_ 5 27. 8

8

_

83

28. 6

7

_

64

29. c

6

_

c^3

30. h

8

_

h^4

31. x

8

_

x^7

32.

36 g^8

_

4 g^3

33. 50 n

7

_

5 n^2

34.

x^3 · y^6 · z^9

_

x · y^4 · z^3

Example 6 35. FISH The number of fish in a school of fish is 4^3. If the number of fish in

the school increased by 4^2 times the original number of fish, how many

fish are now in the school?

36. MUSIC Jon has 5^4 songs on his computer. His friend has 5^2 times the
    number of songs he has. How many songs does his friend have?

B 3737 POWERS OF TEN Use the information in Power of Ten U.S. Name

103 One thousand

106 One million

109 One billion

1012 One trillion

1015 One quadrillion

1018 One quintillion

the table.

a. How many times greater is one trillion

than one million?

b. How many times greater is one

quintillion than one billion?

176_189_C3L4_895130.indd 179 12/31/09 12:50 PM