Exploring Rules Of Exponents Worksheet Page 2
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7Table 2
Power of a Power Property
Use the definition of an exponent to expand the following expressions. Then
rewrite the expanded form using exponents.
Original
Expanded Form
Single Power
Product
( )
4
2
1)
2
( )
4
3
2)
5
( )
4
3
3)
w
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, express the shortcut algebraically.
( )
n
= ______________
m
Power of a Power Property for exponents
a
C. Use the rule you have written to simplify the following expressions.
Kagan Structure: Rally-Coach
( )
4
8
1)
=________
x
( )
7
6
2)
=________
a
( )
t
3
3)
=________
y
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