Laws Of Exponents Cheat Sheet
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My “Laws of Exponents” Cheat Sheet
My “Laws of Exponents” Cheat Sheet
Multiplying Powers with the Same Base
Multiplying Powers with the Same Base
a
b
a+b
a
b
a+b
General Rule:
x
● x
= x
General Rule:
x
● x
= x
5
6
11
5
6
11
Example:
x
● x
= x
Example:
x
● x
= x
Dividing Powers with the Same Base
Dividing Powers with the Same Base
a
a
x
x
General Rule:
= x
a – b
General Rule:
= x
a – b
b
b
x
x
7
7
x
x
Example:
= x
3
Example:
= x
3
4
4
x
x
Finding a Power of a Power
Finding a Power of a Power
a
b
a ● b
a
b
a ● b
General Rule:
(x
)
= x
General Rule:
(x
)
= x
3
6
18
3
6
18
Example:
(x
)
= x
Example:
(x
)
= x
Negative Exponents
Negative Exponents
1
1
General Rule:
x
-a
=
General Rule:
x
-a
=
a
a
x
x
1
1
Example:
x
-7
=
Example:
x
-7
=
7
7
x
x
Zero as an Exponent
Zero as an Exponent
0
0
General Rule:
x
= 1
General Rule:
x
= 1
0
0
Example:
5
= 1
Example:
5
= 1
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