7th Grade Math

Examples 1 and 2 Write each expression using a positive exponent.

1. 5 -^2 2. (-7)-^1 33 t-^10 4. n-^2

Write each fraction as an expression using a negative exponent other

than -1.

Examples 3 and 4

5. ^1
   34
   6. ^1
   x^2
   7. ^1
   49
   8. ^18

Examples 5 and 6 Simplify each expression.

9. h^4 · h-^2 10. n-^6 · n-^1 11. r

5

_

r^4

12. s
    
    
    • 8
      _
      s-^3
    
    
    
    

Example 7 13. MEASUREMENTS A unit of measure called a microgram equals

0.000001 gram. Write this number using a negative exponent.

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

Extra Practice begins on page EP2.

Examples 1 and 2 Write each expression using a positive exponent.

14. 4 -^1 15. 5 -^3 16. (-6)-^2 17. (-3)-^3


15. 3 -^5 19. 10 -^4 20. p-^1 21. a-^10


16. d-^3 23. q-^4 24. 2 s-^5 25. x-^2

Write each fraction as an expression using a negative exponent other

than -1.

Examples 3 and 4

26. ^1
    94
    27. ^1
    55
    28. ^1
    b^3
    29. ^1
    k^2


27. _^1
    1,000


28. _^1
    81


29. _^1
    27


30. _ 161

Examples 5 and 6 Simplify each expression.

34. d^3 · d^4 35. g-^4 · g^2 36. 3 m^7 · 2 m-^2 37. 5 v-^2 · 3 v-^3

38.

f^8

_

f^2

39. k
    
    
    • 9
      _
      k-^8
    
    
    
    


40. 36 b

5

_

6 b^3

41. 81 c
    
    
    • 6
      _
      9 c-^2
    
    
    
    

Example 7 42. ANIMALS A common flea is _^1

24

inch long. Write this using a negative

exponent.

4343 MEASUREMENTS What fraction of a meter does Meter Equivalents

10 decimeters

100 centimeters

1,000 millimeters

one centimeter represent? Write this using a

negative exponent other than -1.

B Write each decimal using a negative exponent.

44. 0.1 45. 0.01 46. 0.0001 47. 0.00001

Lesson 4B Monomials 183

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