Free Printable Exponents

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

Simplify:
x⁵÷ x²

a)

x⁷

b)

x³

c)

x¹⁰

d)

x^2.5

3.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

4.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

5.

a)

x¹²

b)

x^-12

c)

x²

d)

x^-2

6.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

7.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

8.

a)

3

b)

0

c)

1

d)

1/3

9.

a)

8

b)

1/8

c)

8⁷

d)

all of the above

10.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

11.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

12.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

13.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

14.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

15.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

16.

Multiply

a)

100

b)

10¹

c)

10^-2

d)

1/100

17.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

18.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

19.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

20.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

21.

(4x)³

a)

7x³

b)

64x³

c)

12x³

d)

16x³

22.

(x²)³

a)

x⁵

b)

x⁶

c)

x¹

d)

x^-1

23.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

24.

(x³y)⁶

a)

2x¹⁸y⁶

b)

x¹⁸y⁶

c)

x³y⁶

d)

x³y⁶

25.

3⁴is equal to which of the following?

a)

3 x 4

b)

4 x 4 x 4

c)

3 x 3 x 3 x 3

d)

(3)(4)

26.

10⋅10⋅10⋅10 is equal to which exponent?

a)

1000

b)

10³

c)

10⁴

d)

4¹⁰

27.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

28.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

29.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

30.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

31.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

32.

Evaluate the expression using the quotient rule.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

33.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

34.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

35.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

36.

Which expression is equivalent to the given?

a)

b)

c)

d)

37.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

38.

$7x^0$

a)

1

b)

7

c)

$x^7$

d)

$x^{-7}$

39.

$\frac{1}{a^{-5}}$

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

40.

a)

$4w^3z$

b)

$\frac{w^3z}{4}$

c)

$\frac{4}{w^3z}$

d)

$4wz^3$

41.

a)

$5a^{12}b^4$

b)

$5a^{32}b^{10}$

c)

$\frac{a^{12}b^4}{5}$

d)

$\frac{5}{a^{12}b^4}$

42.

a)

$28x^{13}z^9$

b)

$11w^{13}w^9$

c)

$28w^5z^9$

d)

$11w^5z^{-3}$

43.

Simplify:
3p²x 2p⁴q²

a)

6p^-2q²

b)

6p²q²

c)

6p⁸q²

d)

6p⁶q²

44.

Simplify:
2a⁷÷ 2a³

a)

a⁴

b)

1/a⁴

c)

2a⁴

d)

a^7/3

45.

Simplify:
(3t²)³

a)

9t⁶

b)

9t⁵

c)

27t⁶

d)

27t⁵

46.

Evaluate:
2^-3

a)

-8

b)

1/8

c)

-6

d)

1/6

47.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

48.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

49.

Write the exponent form of this expression: (x⋅x⋅x)⋅(x⋅x)

a)

3x⋅2x

b)

5x

c)

x⁵

50.

3x³y ⋅2x⁸y⁵

a)

5x¹¹y⁶

b)

6x¹¹y⁶

c)

6x²⁴y⁵

d)

3x¹¹2y⁵

51.

Rewrite the expression as a power.
(2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

52.

Simplify the expression.
(x²)(x⁵)

a)

x⁷

b)

x^-⁷

c)

x⁸

d)

x³

53.

x⁵y² ⋅ 4x³y⁷

a)

4x⁸y⁹

b)

x⁸y⁹

c)

4x¹⁵y¹⁴

d)

5x⁸y⁹

54.

Evaluate the expression using the quotient rule.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

55.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

56.

15⁹÷15^{3 =}

a)

15⁶

b)

15¹²

c)

1⁶

d)

1¹²

57.

Complete the following statement to represent the quotient rule:
x^a/ x^{b = ?}

a)

x^{a + b}

b)

x^{a x b}

c)

x^{a - b}

d)

abx

58.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

59.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

60.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

61.

a)

5^-8

b)

5²

c)

25^-8

d)

25²

62.

a)

9^-4

b)

9^-45

c)

3^-4

d)

3^-45

63.

Multiply

a)

100

b)

10

c)

10^-2

d)

1/100

64.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

65.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

66.

a)

0

b)

3

c)

1

d)

-1

67.

a)

x¹²

b)

x^-12

c)

x²

d)

x^-2

68.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

69.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

70.

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

71.

a)

3^-5 = 1/3⁵

b)

3⁵

c)

3⁴²

d)

1/9

72.

a)

x⁸

b)

x^-5

c)

x^-8

d)

x^-13

73.

a)

3

b)

0

c)

1

d)

1/3

74.

a)

-6

b)

8

c)

-8

d)

1/8

75.

a)

¹²

b)

36

c)

1/36

d)

1/12

76.

a)

4^-2

b)

1/4²

c)

1/16

d)

all of the above

77.

a)

1

b)

6⁰

c)

36/36

d)

all of the above

78.

a)

8

b)

1/8

c)

8⁷

d)

all of the above

79.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

80.

Negative Exponent Law states: you must change the exponent to a positive by doing what?

a)

just change it to positive

b)

move to the bottom of fraction bar

c)

move it to the opposite side of fraction bar

81.

a)

9a⁸/4b²

b)

9b²/4a⁸

c)

9a⁴b⁶/4

d)

9a⁴/4b²

82.

Simplify

a)

b)

c)

d)

83.

Which expression is NOT equivalent to $3^8$ ?

a)

$\left(3^6\right)\left(3^2\right)$

b)

$\left(3^4\right)^2$

c)

$\left(3^4\right)\left(3^4\right)$

d)

$\left(3^4\right)^4$

84.

Which expression is equivalent to $\frac{x^2y^2z^2}{4y^4}$ ?

a)

$4y^6$

b)

$y^6$

c)

$\frac{x^2z^2}{4y^2}$

d)

$4x^2y^6z^2$

85.

Simplify: $4x^5\cdot6x^{10}$

a)

$24x^{15}$

b)

$10x^{15}$

c)

$\sqrt{24x^{15}}$

d)

$\sqrt{10x^{15}}$

Exponents

Total questions: 85

Worksheet time: 7hrs 5mins

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