Name
Date
Quotient of Powers Property
For use with Activity 9.3
Essential Question
How can you divide two powers that have the
same base?
A C T I V I T Y : Finding Quotients of Powers
Work with a partner.
a. Complete the table.
Quotient
Repeated IVIultlplication Form
Power
2'
Hf
Hf
8.5^
•
(-5f
11^
1
• •
11'
b. INDUCTIVE REASONING Describe the pattern in the table. Then write a
rule for dividing two powers that have the same base.
a'"
— = a
a"
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Big Ideas Math Blue
Record and Practice Journal
183
Name
Date
Puzzle Time
9.3
What Do You Give A Dog That Loves Computers?
Write the letter of each answer in the box.containing the exercise number.
Simplify the expression. Write the answer a s a power.
1.
812
2.
8«
4.
3.
5.
K 12
324
Answers
315
Y. 2.8^
D.
2.8^
2.8'*
In'
D.
6.
i-7f
E.
?15
7.
8.
3^ . 3 2
E. 3^
8' • 8
.
T. 40
,14
10.
9.
8'
G.
12.
11.
i-lf
. (-7)
2.8'/ * 2.8^
i-if
0.
2.8^ • 2.8^
S . 7^'
13. There are about 4 x 1 0 ^ known species of beetles.
The number of known species of caddis flies is
about 10"*. How many times more species of beetles
are there than caddis flies?
S . 8^
T. 35
14. The area of the Pacific Ocean is approximately
6.4 X 10^ square miles. The area of the Gulf of Mexico
is approximately 5.8 x 10^ square miles. How many
times greater is the area of the Pacific Ocean than the
area of the Gulf of Mexico?
11
330
8
12
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Resources by Chapter
4
10
5
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14
6
110
K.
G. 2.8^
13
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1
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