Powers and Factorials

Question 1

What is the value of 2^3?

Answer 1

8

Question 2

True or False: 5^0 = 1.

Answer 2

True

Question 3

Fill in the blank: The expression 3^4 means 3 multiplied by itself ____ times.

Answer 3

4

Question 4

What is the base in the expression 7^2?

Answer 4

7

Question 5

What is the exponent in the expression 10^5?

Answer 5

5

Question 6

Calculate 4! (4 factorial).

Answer 6

24

Question 7

True or False: 0! = 1.

Answer 7

True

Question 8

What is the factorial of 5 (5!)?

Answer 8

120

Question 9

Fill in the blank: The factorial of a number n is the product of all positive integers up to ____.

Answer 9

n

Question 10

What is the value of 3^2 + 4^2?

Answer 10

25

Question 11

If n = 6, what is the value of n!?

Answer 11

720

Question 12

What does the expression 2^x represent?

Answer 12

2 raised to the power of x

Question 13

Calculate the value of 5^3.

Answer 13

125

Question 14

True or False: The result of any number raised to the power of 1 is the number itself.

Answer 14

True

Question 15

What is the result of 10^2?

Answer 15

100

Question 16

What is the value of 6! / 4!?

Answer 16

30

Question 17

Calculate 7^0.

Answer 17

1

Question 18

Fill in the blank: The expression n! can be used to calculate the number of ways to arrange ____ items.

Answer 18

n

Question 19

What is the value of 2^5?

Answer 19

32

Question 20

True or False: 8! = 40320.

Answer 20

True

Question 21

What is the value of 9^1?

Answer 21

9

Question 22

Calculate 3! + 2!.

Answer 22

8

Question 23

What is the product of the first three positive integers (3!)?

Answer 23

6

Question 24

Fill in the blank: The expression (a^m)(a^n) can be simplified to ____.

Answer 24

a^(m+n)

Question 25

What is the value of 1^5?

Answer 25

1

Question 26

What is the result of 4! + 2!?

Answer 26

26

Question 27

Calculate 5^2 - 3^2.

Answer 27

16

Question 28

If x = 3, what is the value of x!?

Answer 28

6

Question 29

True or False: The factorial function grows very quickly as n increases.

Answer 29

True

Question 30

What is the value of 2^4?

Answer 30

16

Question 31

Fill in the blank: The expression a^0 equals ____ for any a ≠ 0.

Answer 31

1

Question 32

What is the value of 8!?

Answer 32

40320

Question 33

What is the formula for calculating combinations using factorials?

Answer 33

n! / (r!(n-r)!)