Free Printable Unit 2 Squares, Cubes & Exponents Quiz Review

1.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

2.

$5^{-1}$

a)

$\frac{1}{5}$

b)

$\frac{1}{5^{100}}$

c)

$\frac{1}{5^3}$

d)

$\frac{1}{5^2}$

3.

$\left(7^3\right)^4$

a)

$7^{12}$

b)

$7^7$

c)

$7^1$

4.

Simplify

a)

y²

b)

y³⁵

c)

y¹²

d)

y¹⁴

5.

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

a)

add

b)

subtract

c)

multiply

d)

divide

6.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

7.

Simplify (-4x)⁰

a)

-4x

b)

-4

c)

1

d)

-1

8.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

9.

$\frac{12x^7}{-3x^2}$

a)

$-4x^9$

b)

$-4x^5$

c)

$\frac{4}{x^5}$

d)

$4x^5$

10.

Our first exponent rule says that when you are multiplying two exponents with the same base, you keep the base the same and ________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.

Our second rule says that when a power is raised to a power, you should _________ the inner and outer exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

12.

True or False?
10³= 30

a)

true

b)

false

13.

Which number is the base? $2^7=128$

a)

2

b)

7

c)

128

d)

$2^7$

14.

Simplify

$x^2\cdot x^8$

a)

$x^{10}$

b)

$x^{16}$

c)

$x^6$

d)

$x^4$

15.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

16.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

17.

$10^3=$

a)

$10\times10\times10$

b)

$10\times3$

c)

$10+10+10$

d)

10,000

18.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

19.

$y^0=$

a)

y

b)

0

c)

1

d)

10

20.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

21.

$x^{-3}\cdot x^7\cdot x^2$ =

a)

$x^6$

b)

$x^{12}$

c)

$x^{-42}$

d)

$x^{-12}$

22.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

23.

True or False:

a)

True

b)

False

24.

Using exponents, simplify the following expression:

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

25.

Simplify: 3x³ ⋅ 3x

a)

3²x⁴

b)

3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x

c)

9x⁴

d)

3x⁴

26.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

27.

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

28.

Evaluate

a)

-1/64

b)

1/16

c)

1/64

d)

-1/16

29.

If (2^x)⁵=2¹⁵, what does x equal?

a)

x = 3

b)

x = 5

c)

x = 10

30.

$\frac{1}{3^5}$ is the same as

a)

$3^{-5}$

b)

15

c)

$3^5$

d)

$\frac{3}{5}$

31.

What is $\sqrt[]{100}$ ?

a)

10

b)

100

c)

200

d)

1

32.

What is $5^2$ ?

a)

2

b)

5

c)

25

d)

125

33.

What is $\sqrt[]{36}$ ?

a)

36

b)

6

c)

18

d)

72

34.

$9^2=18$ True or false?

a)

True

b)

False

35.

169

a)

Is a perfect square.

b)

Is not a perfect square.

36.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

37.

Square root is the inverse of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

38.

$4^{3\ }=$

a)

44

b)

64

c)

43

d)

12

39.

$\sqrt[3]{125}$

a)

3125

b)

5

c)

25

40.

Which representations are equal to 64?

a)

8²

b)

32²

c)

(-8)(-8)

d)

4³

e)

21³

41.

Which of these is both a perfect square and a perfect cube?

a)

64

b)

125

c)

225

d)

81

42.

Solve for p when p² = 100.

a)

1,000

b)

10

c)

0.10

d)

-0.10

43.

Solve for x when x³ = 125

a)

5

b)

10

c)

12

d)

15

44.

If x³ = -27, then x equals

a)

-3

b)

-9

c)

+3 and -3

d)

+9 and -9

45.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

46.

What is the value of:
z⁰

a)

z²

b)

z

c)

0

d)

1

47.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

48.

Simplify:
9³⋅ 9^{4 =}9¹²

a)

True

b)

False

49.

Which expression is equivalent to
(5³)⁴ ?

a)

5⁷

b)

1/5

c)

5¹²

d)

20³

50.

$\frac{x^3\cdot x^4}{x^2}$

a)

$\frac{x^7}{x^2}$

b)

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

c)

$x^5$

d)

$x^{-5}$

51.

What is $4\cdot4\cdot a\cdot a\cdot a$ in exponential form?

a)

$4a^3$

b)

$3a^4$

c)

$4a$

d)

$4^2a^3$

52.

What is $3^4$ in expanded form?

a)

$4\cdot4\cdot4$

b)

$3\cdot3\cdot3\cdot3$

c)

$3\cdot4$

d)

$4\cdot3$

53.

y⁻¹¹⋅y⁵

a)

1⁄y⁶

b)

y⁶

c)

-y⁶

d)

-1⁄y⁶

54.

a)

m⁴

b)

m⁶

c)

m¹⁰

d)

1/m⁶

55.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

56.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

57.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

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

c)

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

d)

$2w^{13}$

58.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

59.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

Unit 2 Squares, Cubes & Exponents Quiz Review

Total questions: 59

Worksheet time: 2hrs 58mins

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