Name_________________________________________________________
Date __________
of Powers Property
10.3 Quotient
For use with Activity 10.3
Essential Question How can you divide two powers that have the
same base?
1
ACTIVITY: Finding Quotients of Powers
Work with a partner.
a. Complete the table.
Quotient
Repeated Multiplication Form
Power
24
22
(− 4)5
2
( − 4)
77
73
8.59
8.56
108
105
312
34
(− 5)7
5
(− 5)
114
111
b. INDUCTIVE REASONING Describe the pattern in the table. Then write a
rule for dividing two powers that have the same base.
_____
am
=
a
an
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Name _________________________________________________________ Date _________
10.3
Quotient of Powers Property (continued)
c. Use your rule to simplify the quotients in the first column of the table on
the previous page. Does your rule give the results in the third column?
2
ACTIVITY: Comparing Volumes
Work with a partner.
How many of the smaller cubes will fit inside the larger cube? Record your
results in the table on the next page. Describe the pattern in the table.
a.
b.
s=4
s = 42
c.
s=3
s = 32
s = 10
s = 102
d.
s=6
s = 62
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Name_________________________________________________________
10.3
Date __________
Quotient of Powers Property (continued)
Volume of
Smaller Cube
Volume of
Larger Cube
Larger Volume
Smaller Volume
Answer
a.
b.
c.
d.
What Is Your Answer?
3. IN YOUR OWN WORDS How can you divide two powers that have the
same base? Give two examples of your rule.
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