Free Printable Exponent Practice

1.

How many terms are in the expression below?

3x + 8y

a)

1

b)

2

c)

3

d)

8

2.

A polynomial with ONE term is called a

a)

monomial

b)

binomial

c)

trinomial

d)

none of the above

3.

A polynomial with TWO terms is called a

a)

monomial

b)

binomial

c)

trinomial

d)

none of the above

4.

A polynomial with THREE terms is called a

a)

monomial

b)

binomial

c)

trinomial

d)

none of the above

5.

What type of polynomial is the expression shown below? $3x^2+2x-8$

a)

monomial

b)

binomial

c)

trinomial

d)

none of the above

6.

What is the leading coefficient of the polynomial below?

$-6x^2+x-4$

a)

$6$

b)

$-6$

c)

$-6x^2$

d)

$-4$

7.

What is the constant term in the expression below?

$10y^5+2y^3-y+7$

a)

10

b)

2

c)

7

d)

5

8.

8^{3
8 is the ________.}

a)

Exponent

b)

Base

c)

Multple

d)

GCF

9.

8^{3
3 is the________________.}

a)

Exponent

b)

Base

c)

Multiple

d)

GCF

10.

8^{3
Which of the following is EXPANDED NOTATION?}

a)

8 x 3

b)

24

c)

8 x 8 x 8

d)

512

11.

Any number to the 3rd power. Ex: 5³

a)

Power

b)

Squared

c)

Cubed

d)

Quarter

12.

Any number to the second power. Ex: 3² or 5²

a)

Power

b)

Squared

c)

Cubed

d)

Quarter

13.

How would you say this?
5⁴

a)

4 to the power of 5

b)

5 times 4

c)

5 to 4

d)

5 to the 4th power

14.

9⁵ is equal to:

a)

9 x 5

b)

9 + 5

c)

9 + 9 + 9 + 9 + 9

d)

9 x 9 x 9 x 9 x 9

15.

What is the base and exponent of this power: (-4)⁶

a)

Base: -4, Exponent: 6

b)

Base: 6, Exponent: -4

c)

Base: 4, Exponent: -6

d)

Base: -6, Exponent: 4

16.

What is the base and exponent of this power: 4^-6

a)

Base: 4, Exponent: 6

b)

Base: 6, Exponent: -4

c)

Base: 4, Exponent: -6

d)

Base: -6, Exponent: 4

17.

What is the base of the expression 3x⁴?

a)

3

b)

x

c)

4

d)

3x

18.

What is the base of the expression (3x)⁴?

a)

3

b)

x

c)

4

d)

3x

19.

What is the base of the expression (-2)⁸?

a)

2

b)

-2

c)

8

20.

What is the base of the expression -2⁸?

a)

2

b)

-2

c)

8

21.

Write 6⋅6⋅6⋅6 using exponents.

a)

6⁴

b)

4⁶

c)

6⁶

d)

4⁴

22.

Evaluate 2⁴

a)

8

b)

20

c)

16

d)

12

23.

When multiplying items that have the same base, keep the base and add the exponents

a)

Product Property

b)

Quotient Property

c)

Power of Products Property

d)

Power Property

24.

When dividing items that have the same base, keep the base and subtract the exponents

a)

Quotient Property

b)

Power of Quotients Property

c)

Exponents

d)

Index

25.

What does product mean?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

26.

What does quotient mean?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

27.

Which of the following is not equivalent to the expression above?

a)

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2

b)

2³⋅ 2²

c)

10

d)

32

28.

Which of the following is not equivalent to the expression shown?

a)

3 ⋅ 3 ⋅ 3 ⋅ 3

b)

12

c)

9²

d)

81

29.

Which of the following is not equivalent to the expression shown?

a)

-400

b)

1/10,000

c)

0.0001

d)

(10^-2)(10^-2)

30.

Which of the following is not equivalent to the expression shown?

a)

3^-2

b)

(1/3)²

c)

1/9

d)

9

31.

Which of the following is not equivalent to the expression shown?

a)

6^-3

b)

(1/6)³

c)

1/216

d)

-18

32.

Which of the following is equivalent to the expression shown?

a)

4x

b)

4x^-1

c)

1/4x

d)

36x^-1

33.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

34.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

35.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

36.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

37.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

38.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

39.

5^-2

a)

-10

b)

1/25

c)

1/10

d)

-1/10

40.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

41.

Simplify
x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

42.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

43.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

44.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

45.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

46.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

47.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

48.

Simplify x²y^-5

a)

1/x²y⁵

b)

x²/y⁵

c)

y⁵/x²

d)

x²/y^-5

49.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

50.

Simplify

a)

5/4

b)

4/5

c)

-4/5

d)

-4/5

51.

Simplify

a)

1/5x³

b)

1/x⁵

c)

-5/x³

d)

5/x³

52.

Simplify

a)

-1/64

b)

1/16

c)

64/1

d)

1/64

53.

Simplify using only positive exponents:

$-\left(6\right)^{-1}$

a)

$-\frac{1}{6}$

b)

$\frac{1}{6}$

c)

6

d)

-6

54.

Simplify using only positive exponents:

$2w^{-13}$

a)

$-w^{13}$

b)

$\frac{2}{w^{13}}$

c)

$\frac{1}{2w^{13}}$

d)

$2w^{13}$

55.

Simplify using only positive exponents:

$7a^{-5}b^3$

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7}{a^5b^3}$

d)

$\frac{7b^3}{a^5}$

56.

Simplify using only positive exponents:

$x^{-5}\cdot x^{-2}$

a)

$x^{-3}$

b)

$\frac{1}{x^7}$

c)

$x^{-7}$

d)

$x^{10}$

57.

Simplify using only positive exponents:

$2n^{-2}\cdot2n$

a)

$\frac{4}{n}$

b)

$4n$

c)

$\frac{1}{4n}$

d)

None of the above

58.

Simplify using only positive exponents:

$3a^{-4}\cdot2a$

a)

$6a^{-4}$

b)

$\frac{5}{a^{-3}}$

c)

$\frac{6}{a^3}$

d)

$\frac{1}{6a^3}$

59.

Simplify using only positive exponents:

$12^{-3}\cdot12^{10}\cdot12^0$

a)

$\frac{1}{12^7}$

b)

$12^7$

c)

$12^8$

d)

1

60.

Write in standard form $2^3$

a)

6

b)

8

c)

222

Exponent Practice

Total questions: 60

Worksheet time: 1hrs 16mins

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