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Beginning the Exponent Properties Copyright Scott Storla 2015
| Date post: | 19-Jan-2018 |
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Beginning the Exponent Properties
Copyright Scott Storla 2015
4 42 2
Copyright Scott Storla 2015
4 41 2 2
256
81 2
1 256
82
Use exponent properties to write each expression as a single term, then simplify.
The Quotient Property
Copyright Scott Storla 2015
3 3 3 3 3 3
Copyright Scott Storla 2015
6
433
231
23
Property – The Quotient Property of Exponents
English: To divide factors with the same base written in exponential form, subtract the exponents and keep the common base.
Example: 6
6 4 2 6 44
3 3 3 33
6
433
6 43 23
3 3 3 3
11
71010
Copyright Scott Storla 2015
11 710
410
10,000
Use exponent properties to write each expression as a single term, then simplify.
174134
Copyright Scott Storla 2015
17 134
44
256
Use exponent properties to write each expression as a single term, then simplify.
10
8 33 33
Copyright Scott Storla 2015
113103
11 103
13
3
Use exponent properties to write each expression as a single term, then simplify.
11
9999
Copyright Scott Storla 2015
11 99 (9 )
29 (9 )
39
729
Use exponent properties to write each expression as a single term, then simplify.
Exponent of 0
Copyright Scott Storla 2015
Copyright Scott Storla 2015
6
644
6 64 1 04
0How much is 4 ?
An Exponent of 0 English: Any non-zero base, with an exponent of 0,
is equal to 1.
Example: 04 1
Copyright Scott Storla 2015
4 410 10
4 410
010
1
Use exponent properties to write each expression as a single term, then simplify.
2 2
410 10
10
Copyright Scott Storla 2015
4
410
10
4 410
If necessary use exponent properties to write each expression as a single term, then simplify.
010
1
007 7
Copyright Scott Storla 2015
1 1
2
If necessary use exponent properties to write each expression as a single term, then simplify.
001 7 7
1 1 1
Exponent of 0
Copyright Scott Storla 2015
Negative Exponent
Copyright Scott Storla 2015
Copyright Scott Storla 2015
21
3
4
633
4 631
231
231
6
433 4 6
13
21
3
23
A Negative Exponent English: If a nonzero expression, written in
exponential form, has a negative exponent, the expression can be rewritten as its reciprocal with the exponent positive.
Example: 2 2
2 22 2
1 3 3 13 and 31 13 3
3 46 6
Copyright Scott Storla 2015
3 46
16
116
Use exponent properties to write each expression as a single term, then simplify.
161
16
Copyright Scott Storla 2015
3
344
3 34
64
Use exponent properties to write each expression as a single term, then simplify.
4,096
Copyright Scott Storla 2015
2 13 3
2 13
33
Use exponent properties to write each expression as a single term, then simplify.
31
3
127
1 1
1 1
2 3
1 12 3
1 12 3
3 26 6
16
Simplify
Copyright Scott Storla 2015
1 1
1 1
2 3
1 12 3
1 12 3
3 26 6
16
1 44 1
1 14
14
Simplify
Copyright Scott Storla 2015
1 44 1
1 14
14
Negative Exponent
Copyright Scott Storla 2015
Combining Exponent Properties
Copyright Scott Storla 2015
Copyright Scott Storla 2015
24
62
2
24 6(2 )
22(2 )
2 22
Use exponent properties to write each expression as a single term, then simplify.
42
16
Copyright Scott Storla 2015
3 5 24 (4 4 )
3 5 24 (4 )
3 34 (4 )
3 34
Use exponent properties to write each expression as a single term, then simplify.
04
1
Copyright Scott Storla 2015
9 2
3 45 55 5
2 49 35 5
6 65 5
6 65
125
Use exponent properties to write each expression as a single term, then simplify.
244,140,625
Copyright Scott Storla 2015
23( 4 )
23( 1 4 )
Use exponent properties to write each expression as a single term, then simplify.
22 3( 1) (4 )
64
4,096
Copyright Scott Storla 2015
5 20
5 28 88 8
5 20
5 288
15
788
15 78
15 78
88
81
8
Use exponent properties to write each expression as a single term, then simplify.
116,777,216
Copyright Scott Storla 2015
234
14(18 )
18
212
1418
18
Use exponent properties to write each expression as a single term, then simplify.
212 14(18 )
212 14(18 )
22(18 )
418
104,976
Copyright Scott Storla 2015
33( 2 )
33( 1 2 )
Use exponent properties to write each expression as a single term, then simplify.
33 3( 1) (2 )
91 2
512
Copyright Scott Storla 2015
53 20
32 3
(8 ) 8
(8 ) 8
15 20
6 38 8
8 8
Use exponent properties to write each expression as a single term, then simplify.
5
38
8
5 ( 3)8
5 38
28
21
8
164
Combining Exponent Properties
Copyright Scott Storla 2015
Beginning the Exponent Properties
Copyright Scott Storla 2015
