Beginning Algebra, 11th Edition

REVIEW EXERCISES

CHAPTER 5

5.1 Use the product rule, power rules, or both to simplify each expression. Write the

answers in exponential form.

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   


2. 
   
   
   
   5. 
      
      
      
      6. 
         
      
      
      
      
   
   
   
   


3. 
   
   
   
   8. 
      
      
      
      9. 
         
      
      
      
      
   
   
   
   

10. 11. 12.

13.Why does the product rule for exponents not apply to the expression

5.2 Evaluate each expression.

14. 15. 16.

Simplify. Write each answer with only positive exponents. Assume that all variables represent

nonzero real numbers.

17. 
    
    
    
    18. 
        
        
        
        19. 
            
        
        
        
        
    
    
    
    

20. 21. 22.

23. 24. 25.

26. 27. 28.

5.3 Write each number in scientific notation.

29.48,000,000 30.28,988,000,000 31.0.0000000824

Write each number without exponents.

32. 
    
    
    
    33. 
        
        
        
        34. 
            
        
        
        
        
    
    
    
    

Perform each indicated operation and write the answer without exponents.

35. 
    
    
    
    36. 
        
        
        
        37. 
            
        
        
        
        
    
    
    
    

Write each boldface italic number in the quote without exponents.

38.The muon, a close relative of the electron produced by the bombardment of cosmic rays

against the upper atmosphere, has a half-life of 2 millionths of a second

(Excerpt from Conceptual Physics,6th edition, by Paul G. Hewitt. Copyright © by Paul

G. Hewitt. Published by HarperCollins College Publishers.)

39.There are 13 red balls and 39 black balls in a box. Mix them up and draw 13 out one at a

time without returning any ball... the probability that the 13 drawings each will produce

a red ball is... 1.6: 10 ^12 .(Weaver, Warren, Lady Luck.)

12 : 10 ^6 s 2.

12 10 -^5 5 * 104

4 103 6 * 10 -^2

8 * 104

2 * 10 -^2

12 10 -^32 14 * 1052

2.4 104 7.83 107 8.97* 10 -^7

16 r-^12212 r-^42

r-^51 r^22 -^3

ab-^3

a^4 b^2

13 p 2413 p-^72

13 r-^22 -^4

y^4 #y-^2

y-^5

x-^7

x-^9

6 -^5

6 -^3

93 # 9 -^52 -^1 + 4 -^1

a 15 -^22 -^4

5

8

b

• 2


• 7 -^2

60 + 1 - 620 - 1 - 2320 - 100

72 + 74?

a

2 m^3 n

p^2

b

3

1 t^4281 t^22516 x^2 z^4221 x^3 yz^224

a 13 x^2 y^323

7

5

b

6

51 pt 24

12 x^2215 x^321 x^92119 x 25 1 - 4 y 27

43 # 48 1 - 5261 - 525 1 - 8 x^4219 x^32

352 CHAPTER 5 Exponents and Polynomials

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