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Worksheets

Combing Exponent Rules

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

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

a)

0

b)

1

2.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

3.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

4.

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

5.
6.
7.

Match the following

a)

Multiply Powers

1.

Add Exponents

b)

Divide Powers

2.

Subtract Exponents

c)

Raise to a Power

3.

Multiply Exponents

d)

Negative Exponent

4.

Reciprocal (Flip)

e)

Zero Exponent

5.

Equals 1

8.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
9.

True or False: 

a)

True 

b)

False

10.

Simplify the expression.

a)

76

b)

7-5

c)

1/75

d)

75

11.

Simplify the expression.

a)

22

b)

30

c)

622

d)

630

12.

Evaluate the expression using the quotient rule.

a)

34

b)

1/34

c)

3-12

d)

332

13.

True or False?

a)

True

b)

False

14.

True or False?

a)

True

b)

False

15.

(85)3

a)

88

b)

815

c)

82

d)

1/82

16.
a)
b)
c)
d)
17.

(t-6)-5

a)

t-11

b)

t-30

c)

t30

d)

t11

18.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

19.

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

20.

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