Free Printable Exponent Laws

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

a)

add

b)

subtract

c)

multiply

d)

divide

4.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

5.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

6.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

7.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

8.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

9.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

10.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

11.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

12.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

13.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

14.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

15.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

16.

Simplify:
(-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

17.

Simplify:
(a⁴b¹⁹c²¹d^-14)⁰

a)

1

b)

0

c)

a⁴b¹⁹c²¹d^-14

d)

a^-4b^-19c^-21d¹⁴

18.

Simplify:
(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

19.

Simplify:
6x⁵y² /2x⁴y²

a)

3xy

b)

4x

c)

3x

d)

4xy

20.

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

a)

add

b)

subtract

c)

multiply

d)

divide

21.

Simplify the following:
(3ab²)³

a)

27a³b⁶

b)

3ab⁶

c)

3a³b⁶

d)

27ab²

22.

Simplify the following:
y⁶/y⁴

a)

y¹⁰

b)

y²

c)

y^-2

d)

1/y²

23.

Simplify the following:
x⁵x^-2

a)

x³

b)

x⁷

c)

x^-7

d)

x^-3

24.

Simplify (-5a^-3)(3a⁶b)²

a)

-15a⁹b

b)

45a⁹b

c)

45ab²

d)

-45a⁹b²

25.

When you have exponents being raised to another exponent, you must....

a)

add the exponents.

b)

subtract the exponents.

c)

multiply the exponents

d)

keep the exponents as they are.

26.

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

a)

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

b)

$x^6$

c)

$x^2$

d)

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

27.

$\frac{y^5}{y^5}$

a)

0

b)

1

c)

y

d)

$y^{10}$

28.

Express the following as a power of its negative exponent.

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

a)

$\frac{1}{32}$

b)

$2^5$

c)

$2^{-5}$

d)

$32$

29.

a)

true

b)

false

30.

a)

0

b)

1

c)

3

d)

31

31.

a)

-0

b)

0

c)

-1

d)

-3

32.

a)

b)

c)

d)

33.

a)

b)

c)

d)

34.

a)

b)

c)

d)

35.

a)

b)

c)

d)

36.

a)

b)

c)

d)

37.

a)

b)

c)

d)

38.

a)

b)

c)

d)

39.

a)

b)

c)

d)

40.

a)

b)

c)

d)

41.

a)

b)

c)

d)

Exponent Laws

Total questions: 41

Worksheet time: 1hrs 9mins

Similar Resources on Wayground