Exponents And Radicals Worksheets Page 7
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15P.2 Exponents and Radicals
= ⋅ ⋅ ⋅ ⋅
n
a
a a a
...
a
(n factors of a)
a = base and n = exponent
Properties of Exponents (p. 12)
Let a and b represent real numbers, and let m and n be integers.
m + n
= a
m
n
1. a
a
m
a
m −n
= a
2.
n
a
-n
n
n
3. a
= 1/(a
) = (1/a)
= 1
0
, if a ≠ 0
a
4.
( )
= a
n
n
n
5.
ab
b
( )
n
m
= a
mn
a
6.
n
⎛
⎜ ⎞
n
a
a
⎟
=
⎝
⎠
7.
n
b
b
n
= a
n
= a
n
8. a
, if n is even
2
=
=
2
2
a
a
a
Note #8.
( )
Note that −3
≠ −3
2
2
. In order for the negative sign to be part of the
base, it must be in the parentheses.
M161c1s2p2
7
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