Exploring Rules Of Exponents Worksheet Page 4
ADVERTISEMENT
1
2
3
4
5
6
7Table 4
Quotient of Powers Property
Use the definition of an exponent to expand the following expressions. Then
rewrite the expanded form using exponents.
Original
Expanded Form
Single Power
Quotient
5
2
1)
3
2
8
h
2)
3
h
3
w
3)
2
w
9 4
w h
4)
2
3
h w
15 7
12
d t
5)
8
10
d t
A. Based on the patterns you observe in the first and third columns, write a shortcut in
your own words for how to arrive at the Single Power column.
B. Using the statement you wrote, write the shortcut algebraically.
m
a
= ______________
Quotient of Powers Property for exponents
n
a
C. Use the rule you have written to simplify the following expressions.
6
x
1)
=______________
3
x
10 11
3x y
2)
=_______________
8
x y
7 4
14
a b
3)
=_______________
2 3
10
a b
−
5
11
18
w m
4)
=_______________
2
6
m w
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education