Deck 12: Roots and Radicals

Question 1

Write the fifth root of 243 using a fractional exponent.

Answer 1

B

Question 2

Write with fractional exponents:

Answer 2

Question 3

On the number line below, locate

Answer 3

Question 4

Write the square of the seventh root of x in rational exponent form.

Question 5

Determine the two whole numbers between which lies.

A)6 and 7
B)4 and 5
C)7 and 8
D)5 and 6

Question 6

Write with fractional exponents and simplify:

Question 7

Write in rational exponent notation: the fifth root of x

Question 8

Write the square root of 81 using a fractional exponent.

Question 9

On the number line below, locate

Question 10

Determine the two whole numbers between which lies.

A)5 and 6
B)14 and 15
C)7 and 8
D)6 and 7

Question 11

Write in radical notation: the seventh root of the square of x

Question 12

Write with fractional exponents:

Question 13

Write the cube root of 64 using radical notation.

Question 14

Simplify:

Question 15

Use the calculator to find the approximate value of the root

A)6
B)2.449489743
C)3.301927249
D)12

Question 16

Evaluate the expression:

Question 17

Write in radical form.

A)
B)
C)
D)

Question 18

Write the fourth root of 81 using radical notation.

Question 19

Write the cube root of x in radical form.

Question 20

Use the calculator to find the approximate value of the root

A)10.5
B)2.140695143
C)4.582575695
D)441

Question 21

Write in rational exponential form.

A)
B)
C)
D)

Question 22

Perform the indicated operation and write the answer with positive exponent in simplest form:

Question 23

Perform the indicated operation and write the answer with positive exponents in lowest terms:

Question 24

Write the fourth root of the cube of x using rational exponent notation.

Question 25

Raise to indicated power and simplify:

A)
B)
C)
D)

Question 26

Perform the indicated operation and write the answer with positive exponent in lowest terms:

Question 27

Simplify the following:

Question 28

Write the cube root of 64 using rational exponent notation.

Question 29

Find the square root of the positive variable:

A)
B) x
C)
D)

Question 30

Divide and simplify:

A)
B)
C)
D)

Question 31

Perform the indicated operation and write the answer with positive exponents in simplest form:

Question 32

Perform the operation and simplify, expressing answer with a positive exponent in lowest terms:

Question 33

Perform the indicated operation and write the answer with positive exponent in lowest terms:

Question 34

Simplify:

A)
B)
C)
D)

Question 35

Perform the operation and simplify, expressing answer with a positive exponent in lowest terms:

Question 36

Perform the indicated operation and write the answer with positive exponents in lowest terms:

Question 37

Raise the term to the indicated power and simplify:

A)
B)
C)
D)

Question 38

Find the square root if the variable represents a positive number.

A)
B)
C)
D)

Question 39

Write the cube root of the square of 5 using rational exponent notation.

Question 40

Simplify:

A)
B)
C)
D) x

Question 41

Write the fifth root of 3,125 using radical notation.

Question 42

Simplify the following expression:

Question 43

Simplify the following expression: