Exponent Rules Through Exploration Worksheet - Algebra 1, Unit 7
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1
2
3Exponent Rules through Exploration
For each exploration below, fill in the chart, look for a pattern, and fill in the general rule.
Exploration 1:
x
Problem
Answer
2
Form
3
4
2
•
2
4
2
2
•
2
5
−
3
2
•
2
6
−
3
2
•
2
2
2
•
2
−
5
−
2
2
•
2
4
6
2
•
2
5
−
1
2
2
•
Rule1: Product of Two Powers
m
•
n
=
_________
x
x
Exploration 2:
x
Problem
Answer
2
Form
7
2
3
2
5
2
2
2
5
2
−
3
2
4
2
6
2
7
2
2
4
2
9
2
−
1
2
3
2
m
x
Rule 2: Quotient of Two Powers
______
=
n
x
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