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Rules for simplifying expressions with exponents.
Transcript
move me! move me!
By Joshua Englebert
Quotient of Power
subtract exponents
m
m-n
a
_
a
=
example
n
a
_
4
3
4
3
1
-3
x
4x b
1x y
=
3
6
3
6
12x y
3x y
3
3y
Conclusion
Exponents
equations with exponents
can be simplified.
The exponent tells you how many times
to use the base as a product.
zero exponents
give you a value of 1.
exponent
Negative exponents
With negative exponents you move
the negative exponent down and make
a fraction.
Power
1
_
example
-n
a =
-4
1
_
a
3 = =
4
81
3
n
0
a
Simplifying equations with exponents.
a =1
base
Product of Powers
m
n+m
n
a *a =a
Power of a product
exmample
Multiply exponents for each base
6
4
10
5 *5 =5
p
n
mp
np
m
(a b ) =a b
(ab) =a b
Power of
a power
example
multiply exponents
n
mn
m
(a ) =a
3
4
3
4
12
9
24
3
12
13
x y 5 x y =125x y
(xy ) (5x y ) =
example
20
5
4
(a ) =a
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