Unit 7, Day 1: Exploring Rules Of Exponents Worksheet With Answers Page 3
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1
2
3
4
5
6Table 3
Power of a ProductIQuotient Property
Use the definition of an exponent to expand the folmowing expressions, Then rewrite the
expanded form using exponents,
Original
Product/Quotient
Expanded Form
Product/Quotient
of Powers
1) (2x)'
(2x)(2x)(2x)(2x) - (2o2o2o2)(xoxoxox) 24 X4
2) (-4a)3
4) (212
2 2 2°2
@, ---
5 5 5°5
'ÿ
,,
(d
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 Product of Powers/Quotients column.
B. Using the statement you wrote, write the shortcut algebraically.
t
Power of a Product Propeÿy for exponents (ab)ÿ -
Power of a Quotient Pmpeÿy for exponents
=
C. Use the rule you have written to simplify the following expressions.
2) (-2xÿ =
"-
3)
=
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