Free Printable Exponent Rules

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 raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

4.

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

5.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

6.

Can you leave a negative exponent in your answer?

a)

YES

b)

NO

7.

True or False?

a)

True

b)

False

8.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

9.

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

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

10.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

11.

Evaluate the expression using the quotient rule.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

12.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

13.

(x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

14.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

15.

(-3x⁴)³

a)

-3x³4³

b)

(-3)³x¹²

c)

3³x¹²

d)

-3x¹²

16.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

17.

Evaluate the expression using the quotient rule.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

18.

What is the EXPONENT in the power written below?

4

a)

0

b)

4

c)

1

d)

2

19.

Simplify

a)

$45k^{20}$

b)

$59049k^{20}$

c)

$45k^9$

d)

$59049k^9$

20.

Simplify

a)

$d^{-2}$

b)

$d^2$

c)

$d^{36}$

d)

$d^{18\ }$

Exponent Rules

Total questions: 20

Worksheet time: 2hrs 40mins

Similar Resources on Wayground