Question 1

Rewrite without rational exponents, and simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Solve.
-

Accepted Answer

A)  18 
B)  9 
C)  No solution 
D)  18, 5

Question 3

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)  7 
B)   
C)  18 
D)

Question 5

Find the following. Assume that the letter can represent any real number.
-(-14y)2

Accepted Answer

A)  -14 y 
B)  14 y 
C)  196 y 
D)  14y

Question 6

Rewrite without rational exponents, and simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Rewrite with positive exponents, and simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Multiply. Assume that no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Find the domain of f.
-f(x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve.
-

Accepted Answer

A)  -2 
B)  3, 8 
C)  2 
D)  2, 38

Question 12

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Find the following. Assume that letters can represent any real number.
-

Accepted Answer

A)   
B)  x 
C)  Not a real number 
D)

Question 14

Find the following. Assume that the letter can represent any real number.
-

Accepted Answer

A)  13y 
B)   
C)   
D)

Question 15

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Add or subtract and simplify.
-(9 + 5i) - (-6 + i)

Accepted Answer

A)  15 - 4i 
B)  -15 - 4i 
C)  15 + 4i 
D)  3 + 6i

Question 17

Use rational exponents to simplify. Write the answer in radical notation if appropriate.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Simplify.
-- 256

Accepted Answer

A)  -16 
B)  does not exist as a real number 
C)  16 
D)  -128

Question 19

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers.
-

Accepted Answer

A)   
B)   
C)   
D)  1

Question 20

Use the laws of exponents to simplify. Write the answer with positive exponents.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 11: Radical Expressions, Equations, and Functions

Rewrite without rational exponents, and simplify, if possible. -

Solve. -

Rewrite with positive exponents, and simplify, if possible. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that the letter can represent any real number. -(-14y) 2

Rewrite without rational exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Rewrite with positive exponents, and simplify, if possible. -

Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

Find the domain of f. -f(x) =

Solve. -

Multiply and simplify. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Find the following. Assume that the letter can represent any real number. -

Simplify. -

Add or subtract and simplify. -(9 + 5i) - (-6 + i)

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Simplify. -- 256

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

Use the laws of exponents to simplify. Write the answer with positive exponents. -