1) to understand what exponents are. 2) to understand the laws … · 2018-10-02 · laws of...
TRANSCRIPT
![Page 1: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/1.jpg)
Laws of Exponents
Laws of Exponents
Lesson objectives Teachers' notes
1) To understand what exponents are.
2) To understand the laws of zero, negative, multiplying, dividing, and power to power exponents.
![Page 2: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/2.jpg)
Laws of Exponents
Base
Power
baseAn exponent tells how many times a number, the
, is used as a factor. A power has two parts, a base and an exponent.
{{x3 =x.x.x Exponent
53 =5.5.5
Exponents
![Page 3: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/3.jpg)
Laws of Exponents
Laws of ExponentsZero Exponents
Negative Exponents
Multiplying Exponents
Dividing Exponents
Power-To-Power Exponents
![Page 4: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/4.jpg)
Laws of Exponents
Laws of ExponentsZero Exponents
Any power which has an exponent of
z
(ero i
xs always
y...
1x 0
50
![Page 5: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/5.jpg)
Laws of Exponents
Laws of ExponentsNegative Exponents
x -2 is an "unsimplified power". All negative exponents must be simplified and become positive exponents. There is a positive position and negative position in the numerator and denominator.
x-2
x2
x-2
![Page 6: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/6.jpg)
![Page 7: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/7.jpg)
Laws of Exponents
Laws of ExponentsMultiplying Exponents
• Bases must be equal. • Exponents add together. • xa • xb = xa+b
![Page 8: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/8.jpg)
Laws of Exponents
Laws of Exponents Multiplying Exponents
32 • 35
b4 • b-1
m3n4 • mn2
2x3 • 4x2
![Page 9: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/9.jpg)
Laws of Exponents
Laws of ExponentsDividing Exponents
• Bases must be equal. • Exponents subtract each other.
![Page 10: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/10.jpg)
Laws of Exponents
2x2y7
Laws of Exponents Dividing Exponents
b3
b2
4x4y3
14c-2 d5
6c-7 d
![Page 11: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/11.jpg)
Laws of Exponents
Laws of ExponentsPower to Power Exponents
Mark all exponential values so they show the exponential form. (If it does not have an exponent, insert a “1” to represent the exponent.)
![Page 12: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/12.jpg)
Laws of Exponents
Laws of ExponentsPower to Power Exponents
When you have a fraction – remember to distribute to the numerator as well as the denominator.
32x5
m3n7
![Page 13: 1) To understand what exponents are. 2) To understand the laws … · 2018-10-02 · Laws of Exponents f s Lesson objectives Teachers' notes 1) To understand what exponents are. 2)](https://reader034.vdocuments.us/reader034/viewer/2022042516/5fb18975110d3d73886ccac8/html5/thumbnails/13.jpg)
Laws of Exponents
Laws of exponents
PRACTICE MAKES PERFECT!
Simplify the expressions. All negative exponents must be positive.
1. (ab-4 )2
2. (2c3df3)3
3. 2x2 2
m-4n2
4. (5x)-2
5. (a3b2c)4
6. (4a-2b3c)-3