Beginning Algebra, 11th Edition

4.

A. B. C. D. 5

Simplify by first writing in radical form. See Examples 1 – 3.

Simplify. Write answers in exponential form with only positive exponents. Assume that all
variables represent positive numbers. See Examples 4 and 5.

Simplify each radical by first writing it in exponential form. Give the answer as an integer
or a radical in simplest form. Assume that all variables represent nonnegative numbers. See
Example 6.

Find the real square roots of each number. Simplify where possible. See Section 8.1.

67. 121 68.0.49 69. 70.

Find and simplify the positive square root of each number. See Section 8.2.

71. 236 72. 160 73. 147 74. 320

4

25

1

4

PREVIEW EXERCISES

24 a^229 b^326 k^428 m^4

2643 2983 28162 29273

q5/6#q-1/6

q1/3

m3/4#m-1/4

m1/3

a

t3/7

s1/3

b

21

a

a2/3

b1/4

b

6

1 m^3 n1/4 2 2/3 1 p^4 q1/2 2 4/3

s5/6

s4/6

r4/9

r3/9

y2/3#y5/3

x2/5#x7/5

8 6/7

8 2/7# 8 - 1/7

6 - 2/9

6 1/9# 6 - 5/9

3 - 3/4# 3 5/4

3 - 1/4

2 2/5# 2 - 3/5

2 7/5

a

8

27

b

2/3

a

25

4

b

3/2

16 1/3 2 3/2 17 2/5 2 5/3

18 3/2 22 15 2/5 210

4 - 4/9

4 - 5/9

11 - 2/7

11 - 3/7

7 2/5

7 3/5

15 3/4

15 5/4

2 1/3# 2 7/3 5 2/3# 5 5/3 6 1/4# 6 - 3/4 12 - 2/5# 12 1/5

216 - 2/3 32 - 4/5 - 16 - 5/4 - 81 - 3/4

• 64 1/3 - 125 5/3 49 - 3/2 9 - 5/2

32 2/5 144 3/2 - 8 2/3 - 27 5/3

27 2/3 8 5/3 16 3/4 64 5/3

81 1/4 32 1/5 243 1/5 4 3/2 9 5/2

25 1/2 121 1/2 64 1/3 125 1/3 16 1/4

• 225 - 5 - 23125


• 125 1/3

SECTION 8.7 Using Rational Numbers as Exponents 543