Free Printable Quiz on Rational Exponents

1.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

2.

Simplify:

a)

8x⁹

b)

8x³

c)

8x⁴√x

d)

8x³√x

3.

a)

add 7 on both sides

b)

subtract 18 on both sides

c)

square both sides

d)

divide by 12 on both sides

4.

a)

divide by 41 on both sides

b)

add 31 on both sides

c)

multiply both sides by 4

d)

raise both sides to the 4th power

5.

Solve the Rational Exponent Equation:

a)

A

b)

B

c)

C

d)

D

6.

Solve for x:
7 + x^3/2 = 71

a)

2

b)

4

c)

16

d)

8

7.

Which expression is correct for the volume

a)

$\frac{1}{3}\pi r^2h$

b)

$\frac{1}{3}\pi r^2l$

c)

$\frac{1}{3}\pi lhr$

d)

$\frac{1}{3}\pi h^2r$

e)

$\frac{1}{3}\pi l^2r$

8.

The volume is 121. Find x

(a)

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

divide both sides by 3

b)

add 21 on both sides

c)

square both sides

d)

add 7 on both sides

11.

8^5/3

a)

64

b)

32

c)

16

d)

24

12.

Solve for x, 5x³ = 1080

a)

216

b)

6

c)

72

d)

5

13.

Simplify
(6^3/4)^1/3

a)

6^1/4

b)

6^3/12

c)

6^4/7

d)

6^9/12

14.

Evaluate without a calculator.

a)

A

b)

B

c)

C

d)

D

15.

Simplify:

a)

2

b)

8

c)

16

d)

32

16.

Simplify the expression:
27^1/3

a)

3

b)

9

c)

27

d)

3³

17.

Simplify the expression:
36^1/2

a)

6

b)

36

c)

-6

d)

1296

18.

Simplify:

a)

2

b)

8

c)

16

d)

32

19.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

20.

Simplify:

a)

2

b)

4

c)

16

d)

64

21.

125^2/3

a)

5

b)

25

c)

75

d)

5

22.

64^4/3

a)

256

b)

8

c)

8⁴

d)

2

23.

4^5/2 = ?

a)

10

b)

16

c)

32

d)

64

24.

When simplifying a value with a rational exponent, which part should you do first?

a)

Root

b)

Power

25.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

26.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

27.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

28.

Simplify: $\sqrt[]{80}$

a)

$5\sqrt[]{7}$

b)

$4\sqrt[]{5}$

c)

$7\sqrt[]{5}$

d)

10

29.

Simplify: $\sqrt[]{28}$

a)

$2\sqrt[]{7}$

b)

$3\sqrt[]{7}$

c)

14

d)

$8\sqrt[]{5}$

30.

Simplify: $\frac{2}{\sqrt[]{2}}$

a)

$\sqrt[]{2}$

b)

$\frac{15}{5}$

c)

$\frac{2\sqrt[]{5}}{3}$

d)

$\frac{\sqrt[]{2}}{2}$

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

$4^{-8}$

a)

$\frac{1^8}{4}$

b)

$\frac{4^8}{1}$

c)

$\frac{1}{32}$

d)

$\frac{1}{4^8}$

34.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

35.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

36.

Simplify $\frac{x^3}{x^5}$ .

a)

$\frac{1}{x^8}$

b)

$x^2$

c)

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

d)

$x^8$

37.

Simplify $\frac{10x^4}{15x^2}$ .

a)

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

b)

$5x^2$

c)

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

d)

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

38.

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

Which of the following below is equivalent to this expression?

a)

$2^6$

b)

$2^5$

c)

$6^2$

d)

$2^9$

39.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

40.

What is the correct formula to use when calculating the volume of a sphere?

a)

(4/3)(3.14)(r-squared)

b)

(1/3)(3.14)(r-cubed)

c)

(4/3)(3.14)(r-cubed)

d)

(2/3)(3.14)(r-squared)

41.

Find the volume of the given sphere.

a)

418.7 cubic ft

b)

3,984.6 cubic ft

c)

4,188.8 cubic ft

d)

4,319.8 cubic ft

42.

When a sphere has a volume of 972π, what is the radius of the sphere?

a)

9

b)

7

c)

18

d)

21

43.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

44.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

12.56 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

45.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

124.6 in³

b)

87.9 in³

c)

97.5 in³

d)

78.9 in³

Quiz on Rational Exponents

Total questions: 45

Worksheet time: 2hrs 16mins

Similar Resources on Wayground