# Exponents and Scientific Notation - PowerPoint - PowerPoint

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```					Exponents and Scientific
Notation
Section 1.4
Charles McKeague
Properties for Exponents
If a is a real number, and r and s are
integers, then
r s
aa aa  ?

r r   s s
a
Properties for Exponents
If a is a real number, and r and s are
integers, then

c
caha?
a h r rs s     r s
Properties for Exponents
If a and b are two real numbers, and r is
an integer, then

bbgga ?b
a a  b 
b
r   r   r    r
Properties for Exponents
If a is any nonzero real number, and r is
a positive integer, then

 r
 1
aa  ?r
r

a
Properties for Exponents
If a and b are two real numbers with
b  0, and r is an integer, then

aI
FJ  ?a
G b
r      r

HK
b           r
Properties for Exponents
If a is any nonzero real number, and r
and s are any two integers, then

r r
a a r s
s
 ?
s a
aa
Properties for Exponents
If a is any real number, then

a ?
1
a
Properties for Exponents
If a is any real number and a  0, then

a 1
0
?
Scientific Notation
A number is written in scientific notation if
it is written as the product of a number
between 1 and 10 and an integer power of
10. A number written in scientific notation
has the form
n 10  r

where 1 < n < 10 and r is an integer.
Sample Problems
Write the following in scientific notation.

230,000,000 .3 
230,000,000  2 ? 10          8
Sample Problems
Write the following in scientific notation.

5
0.00004583  4.583  10
000004583  ?
.

```
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