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Review of Exponents and Radicals: (see page 967970 in the text)
Rules and definitions (x,y real numbers; m,n integers)
examples
1.
x
0
=
1
definition, for x
≠
0
7
0
=
1
e
0
=
1
2.
x
!
n
=
1
x
n
definition of negative exponents, x
≠
0
5
!
2
=
1
5
2
e
!
3
=
1
e
3
3.
x
m
x
n
=
x
m
+
n
product rule
2
3
2
5
=
2
8
e
4
e
3
=
e
7
4.
x
m
( )
n
=
x
mn
power of a power rule
3
2
( )
5
=
3
10
e
3
( )
4
=
e
12
5.
x
m
x
n
=
x
m
!
n
quotient rule
2
7
2
2
=
2
5
e
6
e
2
=
e
4
6.
xy
( )
n
=
x
n
y
n
power of a product rule
3
2
3
5
=
3
7
e
3
e
4
=
e
7
7.
x
y
!
"
#
#
$
%
&
&
n
=
x
n
y
n
power of a quotient
2
3
!
"
#
$
%
&
5
=
2
5
3
5
e
3
!
"
#
$
%
&
2
=
e
2
3
2
8.
x
1
n
=
x
n
def., ( n
≥
2 ) and (x > 0 or n is odd)
(32)
1
5
=
32
5
=
2
e
1
3
=
3
9.
x
m
n
=
x
m
n
def.  ( n
≥
2 ) and (x > 0 or n odd)
(32)
2
5
=
32
5
( )
2
=
2
2
=
4
Notice that if x = 1 and n = 2, then the expression
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This note was uploaded on 12/11/2011 for the course MAC 1140 taught by Professor Kutter during the Fall '11 term at FSU.
 Fall '11
 Kutter
 Algebra, Radicals, Real Numbers, Exponents, Integers

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