Unit 7, Day 1: Exploring Rules Of Exponents Worksheet With Answers
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Unit 7, Day 1: Exploring Rules of Exponents
Table I
Product of Powers Propeÿy
Use the definition of an exponent to expand the fore,owing expressions, Then rewrite the
expanded form using exponents.
Original Product
1)
23°22
2)
3)
Expanded Form
(2°2°2)(2°2)
Single Power
p4op
2
X*X
5) (32 .,%'4 )(3X2)
4)
23+2 _ 25
A. Based on the patterns you obsewe in the first and third columns, write a shoRcut in your own
words for how to arrive at the Single Power column.
" {t
B. Using the statement you wrote, express the shortcut algebraically.
Product of Powers Property for exponents aÿoa" - ÿÿ f- ÿ
1)
2)
C. Use the rule you have written to simplify the following expressions.
4)
=
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