Unit 7, Day 1: Exploring Rules Of Exponents Worksheet With Answers Page 4
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6Table 4
Quotient of Powers Property
Use the definition of an exponent to expand the foiJowing expressions, Then rewrite the
expanded form using exponents,
Odginal
Quotient
Expanded Form
Single Power
25
1)
23
hI
2)
h3
w3
3)
w2
w9h4
4)
h2W3
12d15t7
5)
10d81
2°2°2°2°2
2°2°2
B dS¢SA
25-3 _ 22
A. Based on the patterns you obseHe in the first and third columns, write a shoRcut in your own
words for how to arrive at the Single Power column.
B. Using the statement you wrote, write the shortcut algebraically.
am
Quotient of Powers Property for exponents ÿ =
n
C. Use the rule you have written to simplify the following expressions.
, &
6_ÿ
ÿ
1) x3
2)
iO
4)
--i8
5-I,
3)
II -2
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