Deck 4: Multiplication With Exponents

Question 1

Simplify.

A) 18
B) 0.216
C) 2.16
D) 1.8
E) 216

Answer 1

B

Question 2

Write the number in scientific notation.

A)
B)
C)
D)
E)

Answer 2

D

Question 3

Find the volume of a cube if each side is 3 inches long.

A)
B)
C)
D)
E)

Answer 3

C

Question 4

Simplify.

A)
B)
C)
D)
E)

Question 5

Write the expression with a single exponent. (Assume all variables are positive numbers.)

A)
B)
C)
D)
E)

Question 6

Simplify.

A) 9
B) 25
C) 16
D) 8
E) 42

Question 7

Simplify.

A)
B)
C)
D)
E)

Question 8

Write the number in scientific notation.

A)
B)
C)
D)
E)

Question 9

Simplify.

A)
B)
C)
D)
E)

Question 10

Write the number in expanded form.

A) 29,600
B) 2,960
C) 296,000
D) 296
E) 2,960,000

Question 11

Simplify.

A) 27
B) -27
C) -33
D) 9
E) -9

Question 12

Simplify.

Question 13

Simplify the expression. Leave your answer in terms of exponents.

A)
B)
C)
D)
E)

Question 14

Simplify.

A)
B)
C)
D)
E)

Question 15

Simplify.

A)
B)
C)
D)
E)

Question 16

Simplify.

A)
B)
C)
D)
E)

Question 17

Write the number in expanded form.

A)
B)
C)
D)
E)

Question 18

The displacement, in cubic inches, of a car engine is given by the formula where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Mitsubishi Eclipse: 6 cylinders, 3.59 inches of bore, 2.99 inches of stroke. Use 3.14 to approximate . Please round the answer to the nearest whole.

A)
B)
C)
D)
E)

Question 19

Simplify the expression. Leave your answer in terms of exponents.

A)
B)
C)
D)
E)

Question 20

Write the expression with a single exponent. (Assume all variables are positive numbers.)

A)
B)
C)
D)
E)

Question 21

Simplify the expression. Leave your answer in terms of exponents.

Question 22

Simplify.

Question 23

Simplify.

Question 24

Simplify.

Question 25

Find the volume of a cube if each side is 6 inches long. __________

Question 26

Simplify.

Question 27

The displacement, in cubic inches, of a car engine is given by the formula where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Ferrari Modena: 8 cylinders, 3.35 inches of bore, 3.11 inches of stroke. Use 3.14 to approximate . Please round the answer to the nearest whole. __________

Question 28

Write the expression with a single exponent. (Assume all variables are positive numbers.)

Question 29

Simplify.

Question 30

Write the number in scientific notation.

Question 31

Write the number in scientific notation.

Question 32

Simplify.

Question 33

Complete the table.

A)
B)
C)
D)

Question 34

Complete the table.

A)
B)
C)
D)

Question 35

Write the expression with a single exponent. (Assume all variables are positive numbers.)

Question 36

Write the number in expanded form.

Question 37

Write the number in expanded form.

Question 38

Simplify the expression. Leave your answer in terms of exponents.

Question 39

Simplify.

Question 40

Simplify.

Question 41

The number is not in scientific notation because 53 is larger than 10. Write in scientific notation.

A)
B)
C)
D)
E)

Question 42

The number is not in scientific notation because 0.35 is less than 1. Write in scientific notation.

A)
B)
C)
D)
E)

Question 43

Simplify the expression.

Question 44

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 45

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 46

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 47

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

Question 48

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 49

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 50

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 51

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 52

Complete the table.

A)
B)
C)
D)

Question 53

Use the property to simplify the expression.

A)
B)
C)
D)
E)

Question 54

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 55

Write the expression with a positive exponent, and then simplify, when possible.

A)
B)
C)
D)
E)

Question 56

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

A)
B)
C)
D)
E)

Question 57

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

A)
B)
C)
D)
E)

Question 58

Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is three times as long as the side of the smaller square. If the length of the side of the smaller square is x , find the area of each square. Then find the number of smaller squares it will take to cover the larger square.

A) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
B) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
C) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
D) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .
E) The area of the smaller square is . The area of the larger square is . The number of smaller squares it will take to cover the larger square is .

Question 59

Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box is twice as long as the length of a side of the first box. If the length of a side of the first box is x , find the volume of each box. Then find the number of smaller boxes that will fit inside the larger box.

A) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
B) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
C) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
D) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
E) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .

Question 60

Simplify the expression. An answer with exponents should contain positive exponents only.

A)
B)
C)
D)
E)

Question 61

Write the expression with a positive exponent, and then simplify.

Question 62

Divide. Write the answer with positive exponents only.

A)
B)
C)
D)
E)

Question 63

Complete the table.

Question 64

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 65

Fill in the table.

A)
B)
C)
D)

Question 66

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 67

Simplify.

A)
B)
C)
D)
E)

Question 68

Combine the terms.

A)
B)
C)
D)
E)

Question 69

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 70

Combine the terms.

A)
B)
C)
D)
E)

Question 71

Write the expression with a positive exponent, and then simplify.

Question 72

The number is not in scientific notation because 39 is larger than 10. Write in scientific notation.

Question 73

Use the property to simplify the expression. If needed, write your answer with positive exponents only.

Question 74

Use the property to simplify the following expression. If needed, write your answer with positive exponents only.

Question 75

Write the expression with a positive exponent, and then simplify.

Question 76

The number is not in scientific notation because 0.37 is less than 1. Write in scientific notation.

Question 77

Write the expression with positive exponents, and then simplify.

Question 78

Divide. Write the answer with positive exponents only.

A)
B)
C)
D)
E)

Question 79

Simplify the expression. An answer with exponents should contain positive exponents only.

Question 80

Simplify the expression. An answer with exponents should contain positive exponents only.