Properties Of Exponents Cheat Sheet
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1
2Properties of Exponents Cheat Sheet
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Multiplication Property:
EX w/ numbers:
EX w/ variables:
EX w/ num. and variables:
3
5
2
10
2
3
5
· 3
· x
y · 4x
3
=
x
=
2x
y
=
Add exponents if bases are the
same
Power Property:
EX w/ numbers:
EX w/ variables:
EX w/ num. and variables:
3
4
3
11
4
8
4
(5
)
=
(y
)
=
(6x
y
z)
=
Multiply exponents when they are
inside and outside parenthesis
Division Property:
EX w/ numbers:
EX w/ variables:
EX w/ num. and variables:
12
17
10
3
=
y
=
3x
=
5
6
4
3
y
9x
Subtract top exponent minus
bottom exponent
Simplify all fractions!
Zero Property:
EX w/ numbers:
EX w/ variables:
EX w/ num. and variables:
0
0
2
4
0
100
=
(xy)
=
(3a
b
)
=
2
4
0
3(a
b
)
=
Any number raised to the zero
power is equal to 1
Negative Exponent Property:
EX w/ numbers:
EX w/ variables:
EX w/ num. and variables:
-4
-6
-10
3
=
x
=
16x
=
-2
2x
If the exponent is negative move
the term to the opposite side and
make the exponent positive
Simplify all fractions!
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