Beginning Algebra, 11th Edition

8.7 Using Rational Numbers as Exponents

Assume that mand nare integers, and

am/n

1

am/n

1 a 02

am/n 2 namA 2 naB

m

a1/n 2 na

aÚ0, n 7 0.

36 3/2=

1

36 3/2

=

1

136 1/2 23

=

1

63

=

1

216

1812 3/4= 24813 =A 2481 B^3 = 33 = 27

8 1/3= 238 = 2

CONCEPTS EXAMPLES

CHAPTER 8 Review Exercises 547

REVIEW EXERCISES

CHAPTER 8

8.1 Find all square roots of each number.

1. 49 2. 81 3. 196 4. 121 5. 225 6. 729

Find each indicated root. If the root is not a real number, say so.

15.Find the distance between and

16.Find the value of xin the figure.

1 - 3, - 52 1 4, - 32.

B

100

B 81

49

36

2 - 8100 - 24225

216 - 236 231000 2481

x

15

17

17.An HP f1905 computer monitor has viewing screen dimen-

sions as shown in the figure. Find the diagonal measure of

the viewing screen to the nearest tenth. (Source:Author’s

computer.)

37.5 cm

30.4 cm?

Determine whether each number isrational, irrational,ornot a real number.If the number is

rational, give its exact value. If the number is irrational, give a decimal approximation

rounded to the nearest thousandth.

8.2 Simplify each expression.

Use the product rule, the quotient rule, or both to simplify each expression.

29. 
    
    
    
    30. 
        
        
        
        31. 
            
            
            
            32. B
            
            
            
            
        
        
        
        
    
    
    
    

1

6

#

B

5

B 6

7

B 169

3

49

• B

121

400

231728 212 # 227 232 # 248 250 # 2125

25 # 215 - 227 2160 23 - 1331

2111 - 225 2 - 4