Free Printable Exponents Grade 9

1.

Simplify

7^6\times7^2

a)

7

b)

$7^6$

c)

$7^8$

d)

$7^{12}$

2.

Simplify

7^6\times7^2

a)

7

b)

$7^6$

c)

$7^8$

d)

$7^{12}$

3.

Simplify

\left(-3\right)^4\times\left(-3\right)^5

a)

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

b)

$\left(-3\right)^5$

c)

$\left(-3\right)^9$

d)

$\left(-3\right)^{20}$

4.

True or false:

4^3\times4^5=4^{15}

a)

True

b)

False

5.

True or false:

10^6\div10^2=10^4

a)

True

b)

False

6.

Simplify

6^4\div6^4

a)

$6^4$

b)

$6^1$

c)

$6$

d)

$6^0$

7.

Simplify

\left(-7\right)^8\div\left(-7\right)^4

a)

$\left(-7\right)$

b)

$\left(-7\right)^2$

c)

$\left(-7\right)^3$

d)

$\left(-7\right)^4$

8.

Simplify

10^3\times10^5\div10^2

a)

$10^2$

b)

$10^4$

c)

$10^6$

d)

$10^{10}$

9.

Simplify

\left(-1\right)^8\div\left(-1\right)^3\times\left(-1\right)^1

a)

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

b)

$\left(-1\right)^5$

c)

$\left(-1\right)^3$

d)

$\left(-1\right)$

10.

Write as a power:

\left(5^2\right)^3

a)

$5^2$

b)

$5^3$

c)

$5^5$

d)

$5^6$

11.

Write as a power:

\left(4^4\right)^1

a)

$4^1$

b)

$4^4$

c)

$4^5$

d)

$4^6$

12.

Write as a power:

\left(x^3\right)^5

a)

$x^3$

b)

$x^5$

c)

$x^8$

d)

$x^{15}$

13.

True or false:

\left(3^2\right)^3=3^5

a)

True

b)

False

14.

True or false:

\left[\left(-3\right)^3\right]^0\ =\ \left(-3\right)^3

a)

True

b)

False

15.

$\frac{\left(2^3\right)^4\times2^5}{2^7}$

a)

$2^2$

b)

$2^5$

c)

$2^7$

d)

$2^{10}$

16.

$\frac{6^5\times6}{6^2\times6^2}$

a)

$6^0$

b)

$6$

c)

$6^1$

d)

$6^2$

17.

Rewrite using a positive exponent.

w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

18.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-5

d)

7b³ /a⁵

19.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a⁹b⁶c³

20.

(a⁴b¹⁹c²¹d^-14)⁰

a)

1

b)

0

c)

a⁴b¹⁹c²¹d^-14

d)

a^-4b^-19c^-21d¹⁴

21.

(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

22.

Simplify:

(-4)³ * (-4)⁵

a)

-4⁸

b)

(-4)⁸

c)

16⁸

d)

(-4)²

23.

Simplify

a)

-6c

b)

6c⁵

c)

15c⁵

d)

15c

24.

Simplify the following expression:

a)

14x⁶

b)

14x³

c)

9x³

d)

9x⁶

25.

Simplify the following expression:

a)

18x²⁵

b)

9x¹⁰

c)

1

d)

18x¹⁰

26.

Simplify:

a)

8

b)

1

c)

0

d)

8x

27.

Simplify. Leave your answer in scientific notation.

a)

1.5 x 10²

b)

17.5 x 10²

c)

8.5 x 10^-4

d)

8.5 x 10²

28.

Which of the following are equivalent to the expression 6^-3

a)

1/6³

b)

6³

c)

1/216

d)

216

29.

-2² * -2⁹ * -2⁵* -2

a)

16¹⁶

b)

2¹⁷

c)

2¹⁶

d)

-2¹⁷

30.

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

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

31.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

32.

Rewrite: 7^-5

a)

$7^5$

b)

$\frac{1}{7^{-5}}$

c)

$\frac{1}{7^5}$

d)

$\frac{1}{-7^5}$

33.

Rewrite: 10^-6

a)

$10^6$

b)

$\frac{1}{10^6}$

c)

$\frac{1}{-10^6}$

d)

$\frac{1}{10^{-6}}$

34.

Solve: 9^-2

a)

18

b)

$\frac{1}{18}$

c)

$\frac{1}{81}$

d)

-81

35.

Solve: -5^-2

a)

$\frac{1}{-25}$

b)

$\frac{1}{25}$

36.

Evaluate.

a)

0

b)

1

c)

7

d)

70

37.

Simplify

a)

y²

b)

y³⁵

c)

y¹²

d)

y¹⁴

38.

Simplify

$x^2\cdot x^8$

a)

$x^{10}$

b)

$x^{16}$

c)

$x^6$

d)

$x^4$

39.

(5³)⁷

a)

5²¹

b)

5¹⁰

c)

5⁴

d)

125²¹

40.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

41.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

42.

Evaluate this expression using the quotient of powers rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

43.

Simplify

a)

$d^{-2}$

b)

$d^2$

c)

$d^{36}$

d)

$d^{18\ }$

44.

Using exponents, simplify the following expression:

5⁵* 5^-3

a)

5^-15

b)

5⁸

c)

5^-8

d)

5²

45.

$9^1$

a)

0

b)

81

c)

1

d)

9

46.

Evaluate (-2)³

a)

-8

b)

8

c)

-6

d)

6

47.

Evaluate and determine the equivalent exponential expression of $\left(\frac{1}{5}\right)^{-4\ }\times\ 5^{-2}$

a)

125

b)

25

c)

5

d)

625

48.

Rewrite the expression as an equivalent exponential expression using positive exponents.

$\left[\left(\frac{10}{11}\right)^3\right]^{\ ^{-4}}$

a)

$\left(\frac{11}{10}\right)^7$

b)

$\left(\frac{11}{10}\right)^{12}$

c)

$\left(\frac{10}{11}\right)^{-1}$

d)

$\left(\frac{11}{10}\right)^{-12}$

49.

Which expression is equivalent to $\frac{\left(4^{-2}\right)^{-1}}{4^{-1}}$

a)

$\frac{1}{16}$

b)

64

c)

$\frac{1}{64}$

d)

$\frac{1}{4}$

50.

Anything raised to the power of zero is always

a)

0

b)

1

c)

itself

d)

negative

51.

x^-6

a)

1/x⁶

b)

-x⁶

c)

x⁶

d)

-1/x⁶

52.

(5³x²y⁴)⁰

a)

5xy

b)

0

c)

1

d)

5

53.

Simplify

a)

7⁶

b)

1/7⁵

c)

7^-5

d)

7⁵

54.

a)

true

b)

false

55.

[ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

a)

12(x⁷z¹⁰)

b)

1

c)

(x⁷z¹⁰)/12y²

d)

(x⁷y^-2z¹⁰)/12

56.

When raising power to power you _____ exponents

a)

add

b)

subtract

c)

multiply

d)

divide

57.

a)

2x/y⁹

b)

3y²³/4

c)

3y²³/4x

d)

3x²³/y⁴

58.

(f^-6)(f¹⁰)

a)

f¹⁶

b)

1/f⁴

c)

f⁴

d)

1/f¹⁶

59.

a)

x^-7

b)

x⁷

c)

1/x⁷

d)

x^-9

60.

a)

x²/2

b)

2x¹⁴

c)

2/x¹⁴

d)

2/x²

61.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule and Quotient Rule

b)

Power Rule and Product Rule

c)

Power Rule and Negative Exponent Rule

d)

Zero Rule and Power Rule

62.

Simplify (4x⁵)(3x²)

a)

12x⁷

b)

12x¹⁰

c)

7x⁷

d)

12x³

e)

7x¹⁰

63.

Simplify (-3x⁵)³

a)

27x¹⁵

b)

-27x¹⁵

c)

-27x⁸

d)

-3x⁸

e)

-3x¹⁵

64.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

65.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

66.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

67.

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

a)

add

b)

subtract

c)

multiply

d)

divide

68.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

69.

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

a)

add

b)

subtract

c)

multiply

d)

divide

70.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

71.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

72.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

73.

Which expression is equivalent to the given?

a)

b)

c)

d)

74.

Expand x⁵

a)

x⋅x⋅x⋅x⋅x

b)

1/x⋅x⋅x⋅x⋅x

c)

x⁵

d)

5

75.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

76.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

77.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

78.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

79.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

80.

Choose that all equivalent expressions to 4²

a)

(2 + 2)²

b)

16

c)

(1 + 3)²

d)

4

81.

3²+4²

a)

7

b)

14

c)

20

d)

25

82.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

83.

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

a)

add

b)

subtract

c)

multiply

d)

divide

84.

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

a)

add

b)

subtract

c)

multiply

d)

divide

85.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

86.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

87.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

88.

Evaluate

3^4\times3^2

a)

729

b)

72

c)

18

d)

6561

89.

Evalute:

4^6\div4^3

a)

64

b)

12

c)

16

d)

$\frac{1}{64}$

90.

Evaluate

3^8\div3^5

a)

27

b)

1

c)

9

d)

3

91.

Simplify:
b⁴ x b⁻³ ÷ b⁻²

a)

b³

b)

b⁻³

c)

b⁵

d)

b⁻¹

92.

True or False: $6^4\times3^4$ and $18^8$ are equivalent

a)

True

b)

False

93.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

94.

True or False:

a)

True

b)

False

95.

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

96.

Simplify and write with positive exponents only.

$\frac{x^{10}}{x^2}$

a)

$x^{18}$

b)

$x^8$

c)

$x^{20}$

d)

$x^{12}$

97.

Choose the appropriate expression for multiplying exponents with the same base

a)

$x^a\cdot x^b=x^{a\cdot b}$

b)

$x^a\cdot x^b=2x^{a+b}$

c)

$x^a\cdot x^b=x^{a+b}$

d)

$x^a\cdot x^b=\left(x^a\right)^b$

98.

Choose all equivalent expressions for $x^2\cdot x^6$ where 'x'=2

a)

$x^{12}$

b)

$48$

c)

$x^8$

d)

$256$

99.

Choose the appropriate Exponent Law for factors raised to a power

a)

$\left(xy\right)^n=x^ny^n$

b)

$\left(xy\right)^n=nx\cdot ny$

c)

$\left(xy\right)^n=xy^{n+n}$

d)

$\left(xy\right)^n=x^{n+n}y^{n+n}$

100.

$\left(-6x\right)^3$ ; choose all equivalent expressions

a)

$-18x^3$

b)

$\left(-6\right)^3x^3$

c)

$-6^3x^4$

d)

$-216x^3$

101.

Choose the expression that represents the Negative Exponent Law

a)

$x^n=\frac{1}{x^n}$

b)

$x^{-n}=\frac{1}{x^{-n}}$

c)

$x^{-n}=\frac{1}{x^n}$

d)

$x^{-n}=1$

102.

$\frac{3}{x^{-4}}$ ; choose all the equivalent expressions

a)

$3x^4$

b)

$\frac{1}{3x^4}$

c)

$3x^{-4}$

d)

$\frac{3}{1}\cdot\frac{1}{x^{-4}}$

103.

$v\left(uv^2\right)\left(u^3v\right)=$

a)

$v^3u^3$

b)

$v^4u^4$

c)

$\left(uv\right)^8$

d)

$u^6v^2$

104.

$\frac{12\left(15\div3\right)}{\left(20\cdot5\right)-\left(20\cdot2\right)}=$

(a)

105.

You spill some tea to six people. Every 7 days those six people spill the tea to six other people. How much tea was spilled after two months?

a)

$6T\cdot4$

b)

$6^4T$

c)

$42T^7$

d)

$6^8T$

106.

$\left(-3-12\right)-\left(-40\right)=$

(a)

107.

Choose the expression that represents the Exponent Law of raising an exponent to a power

a)

$\left(x^a\right)^b=x^{a+b}$

b)

$\left(x^a\right)^b=x^{a^b}$

c)

$\left(x^a\right)^b=1$

d)

$\left(x^a\right)^b=x^{a\cdot b}$

108.

$\frac{\left(6.02\times10^{23}\right)^0}{x^{-3}}$ ; Evaluate where x = 2

(a)

109.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

110.

2⁵ is the same as 2 x 5.

a)

True

b)

False

111.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

112.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

113.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

114.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

115.

n⁷÷n³

a)

n³

b)

n⁴

c)

n¹⁰

d)

n^-4

116.

Simplify

a)

6¹⁴

b)

6⁶

c)

36¹⁴

d)

36⁶

117.

Evaluate the expression using the quotient of powers rule.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

d)

a⁸b⁷

118.

Simplify the following: (v⁴)⁹

a)

v³⁶

b)

v¹³

c)

v⁵

d)

v^-5

119.

Simplify the following: (g²)⁶

a)

g¹²

b)

g⁸

c)

g⁴

d)

g²⁶

120.

Simplify the following: (xy)⁵

a)

x⁵y⁵

b)

xy⁵

c)

5x5y

d)

5xy

121.

(r²s³t)⁸

a)

r¹⁶s²⁴t⁸

b)

r¹⁰s¹¹t⁸

c)

r¹⁰s¹¹t⁹

d)

r¹⁶s²⁴t⁹

122.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

123.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

Exponents Grade 9

Total questions: 123

Worksheet time: 6hrs 53mins

Similar Resources on Wayground