1001 Algebra Problems.PDF

Set 36 (Answers begin on page 217)

The definition of fractional powers and the simplifica-
tion of expressions involving radicals are the focus of this
problem set.

561.–5 is a third root of what real number?

a.

3

–5

b. 25

c.–125

d.–625

562.Which of the following are second roots (ie.,
square roots) of 49?
a.7 only
b.–7 only
c.7 and –7
d.none of the above

563 Which of the following is the principal fourth

root of 625?

a. 5

b.–5

c. 25

d.–25

564.Simplify:

5

–32

a. 2 

5

2 

b.–2

5

2 

c. 2

d.–2

565.Which of the following is a value ofbthat satis-
fies the equation

3

b= 4?

a. 64

b.

3

4 

c. 16

d.none of the above

566.Simplify:

4

3 ^12

a. 27

b. 9

c. 81

d. 243

567.Simplify:

5

5 ^15

a. 5

b. 15

c. 125

d. 625

568.Find a number bthat satisfies the following:



4

(2b)^4 = 8

a. 2

b. 3

c. 4

d.There is no such value ofb.

569.Simplify: 64

a. 2 

6

2 

b. 2

c.^664 

d.none of the above

570.Simplify: 49

a.^242 ^5

b. 343

c. 35

d.16,807

571.Simplify: 81–

a. 217 

b.–^244 ^3

c. 27

d. 9

^34

^52

^16

• RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS–