Free Printable exponent rules

1.

∛512 = ?

a)

≈177

b)

-8

c)

-8, 8

d)

8

2.

Simplify m¹²/ m³

a)

m^12-3 = m⁹

b)

m^12/3= m⁴

c)

m^-9

d)

-m⁹

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

5.

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

6.

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

7.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

8.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

9.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

10.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

11.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

12.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

13.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

14.

5^-2

a)

-10

b)

1/25

c)

1/10

d)

-1/10

15.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

16.

Simplify
x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

17.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

18.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

19.

Simplify: x² ⋅ y⁴ ⋅ x

a)

x⁴y⁴

b)

xy⁴

c)

x³y⁴

d)

x⁷

20.

Using exponents, simplify the following expression:

5⁵* 5^-3

a)

5^-15

b)

5⁸

c)

5^-8

d)

5²

21.

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

a)

f¹⁶

b)

f⁴

c)

1/f⁴

d)

1/f¹⁶

22.

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

23.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

24.

Simplify the following expression:

-9⁰

a)

-9

b)

0

c)

-1

d)

1

25.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

26.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

27.

Select ALL solutions that are equivalent to the following expression

a)

1/j³

b)

j^-23

c)

1/j²³

d)

j^-3

28.

Using exponents, simplify the following expression:

(6²)³ * 6⁴

_______________

6⁸

a)

6

b)

6²

c)

6¹⁶

d)

6¹⁷

29.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

30.

$3^7\cdot3^7$

a)

$9^{49}$

b)

$3^{14}$

c)

$3^{49}$

d)

$9^{14}$

31.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

32.

√ 64

a)

4

b)

6

c)

9

d)

8

33.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

34.

A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?

a)

32 units

b)

16 units

c)

8 units

d)

4 units

35.

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

36.

a)

9/12

b)

3/4

c)

4/8

d)

5/4

37.

∛125

a)

5

b)

15

c)

10

d)

72

38.

Find the square root.

√289

a)

15

b)

17

c)

14

d)

13

39.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

40.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

41.

Which best represents the length of one side of the square?

a)

5 m

b)

400 m

c)

10 m

d)

4.5 m

42.

Between what two integers is the irrational number located?

a)

8 and 10

b)

8 and 9

c)

64 and 81

d)

-64 and -81

43.

Between what two integers is the irrational number located?

a)

-9 and -11

b)

-81 and -100

c)

-9 and -10

d)

9 and 10

44.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

45.

REVIEW QUESTION
Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

46.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

47.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

48.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

49.

Which statement best describes the relationship of x and y in the table?

a)

Proportional

b)

Not Proportional

50.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

51.

Does the equation show a proportional relationship?

a)

Yes

b)

No

52.

Does the equation show a proportional relationship?

a)

Yes

b)

No

53.

True or False: You got this in the bag!

a)

True

b)

False

54.

Is today Friday?

a)

Yes

b)

No

c)

Not sure

exponent rules

Total questions: 54

Worksheet time: 5hrs 30mins

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