exponents. 6³ exponent base 6³ is read “six cubed” 6³ = 6 x 6 x 6 6³ = 216
TRANSCRIPT
![Page 1: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/1.jpg)
Exponents
![Page 2: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/2.jpg)
6³Exponent
Base
![Page 3: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/3.jpg)
6³ is read “Six Cubed”
6³ = 6 x 6 x 6
6³ = 216
![Page 4: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/4.jpg)
Any base to the zero power, equals one.
Example:
Any base to the first power, equals itself.
Example:
20 = 1 50 = 1
41 = 4 71 = 7
![Page 5: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/5.jpg)
Evaluate Exponents Evaluating Exponents: means
to find the VALUE of.Example: 3² =
-9º =
(-3)³ =
![Page 6: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/6.jpg)
Evaluate the following:
10113
= =
= =
= =
= =
= =08
3442
35232)10(0)6(17
1
3
64
16
125
1
-1
-9
100
-7
![Page 7: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/7.jpg)
Properties of Exponents
Complete the table in your notes and look for a pattern
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Rule 1:When multiplying two numbers with the same base, keep base and add the exponents.
3³ x 3²
. x
3 x 3 x 3 x 3 x 3
3 x 3 x 3 3 x 3
737373
53
![Page 9: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/9.jpg)
Properties of Exponents
Complete the table in your notes and look for a pattern
![Page 10: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/10.jpg)
Rule 2:When dividing two numbers with the same base, keep base and subtract the exponents.
73
2
5
6
6
66
66666
36
![Page 11: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/11.jpg)
Rule 3When raising a number with an exponent to a power, multiply the exponents.
(3²)³
(3²) x (3²) x (3²) (3 x 3) x (3 x 3) x (3 x 3)
3 x 3 x 3 x 3 x 3 x 3
7373
63
![Page 12: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/12.jpg)
43 88
5
8
7
7
34 )9(
8
43
5
)5(
7
61
2
)2(
12
36
)9(
99
5
1032
3
3)3(
12
5
1010
10
9
1207
4
4)4(
434
234
)8(8
8)8(
7837129
3445
12
13
210
28
34
34
81
77
)7(
7
53
5
)2(77 7
53
5
)2(
![Page 13: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/13.jpg)
Negative Exponents
Negative Exponents are NOT negative numbers
Negative Exponents are greater than 0, but less than one
Negative Exponents can be written as fractions and decimals
![Page 14: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/14.jpg)
ExpressionUsing
Positive Exponents
Value
102 102 100101 101 10100 100 1
10-1 1 . 101 0.1
10-2 1 . 102 0.01
10-3 1 . 103 0.001
![Page 15: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/15.jpg)
Example
= = = 5
2
2
2 3222222
22
32
1
![Page 16: Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216](https://reader033.vdocuments.mx/reader033/viewer/2022061407/56649ebf5503460f94bca615/html5/thumbnails/16.jpg)
Simplify 35 22
28
615
)3(
)3(*3
432 4)4(
8
3
6
6
548
123
555
5)5(
27
503
44
444
22
2
12
55
6
16
22
4
14
33
4
14
22
5
15
55
3
13
4
23
6
)6(
45
3514
56
5)6(62
2
6
16
15 5*6